t designs with small t, id ge 1500

---

# 1500: 5-(24,10,4752)

• clan: 13-(32,16,396), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1501: 5-(24,10,4770)

• clan: 11-(30,15,1590), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1502: 5-(24,10,4788)

• clan: 15-(32,16,7), 2 times reduced t, 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1503: 5-(24,10,4806)

• clan: 11-(30,15,1602), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1504: 5-(24,10,4824)

• clan: 13-(32,16,402), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1505: 5-(24,10,4842)

• clan: 11-(30,15,1614), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1506: 5-(24,10,486)

• clan: 11-(30,15,162), 5 times derived, 1 times residual
• $PSL(2,23)$ (26361 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1507: 5-(24,10,4860)

• clan: 13-(32,16,405), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1508: 5-(24,10,4878)

• clan: 11-(30,15,1626), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1509: 5-(24,10,4896)

• clan: 17-(36,18,8), 8 times derived, 4 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1510: 5-(24,10,4914)

• clan: 11-(30,15,1638), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1511: 5-(24,10,4932)

• clan: 13-(32,16,411), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1512: 5-(24,10,4950)

• clan: 11-(30,15,1650), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1513: 5-(24,10,4968)

• clan: 13-(32,16,414), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1514: 5-(24,10,4986)

• clan: 11-(30,15,1662), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1515: 5-(24,10,5004)

• clan: 13-(32,16,417), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1516: 5-(24,10,5022)

• clan: 11-(30,15,1674), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1517: 5-(24,10,504)

• clan: 13-(32,16,42), 6 times derived, 2 times residual
• $PGL(2,23)$ (6 isomorphism types) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (42919 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1518: 5-(24,10,5040)

• clan: 13-(32,16,420), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1519: 5-(24,10,5058)

• clan: 11-(30,15,1686), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1520: 5-(24,10,5076)

• clan: 13-(32,16,423), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,11,5076) (# 17858)
• derived from supplementary of 6-(25,11,6552) (# 17860)

---

# 1521: 5-(24,10,5094)

• clan: 11-(30,15,1698), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1522: 5-(24,10,5112)

• clan: 13-(32,16,426), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1523: 5-(24,10,5148)

• clan: 13-(32,16,429), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,10,1716) (# 13620)
• derived from 6-(25,11,5148) (# 13621)
• residual design of supplementary of 6-(25,10,2160) (# 13623)
• derived from supplementary of 6-(25,11,6480) (# 13624)

---

# 1524: 5-(24,10,5166)

• clan: 11-(30,15,1722), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1525: 5-(24,10,5184)

• clan: 13-(32,16,432), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,10,1728) (# 17531)
• residual design of supplementary of 6-(25,10,2148) (# 17533)
• derived from 6-(25,11,5184) (# 17534)
• derived from supplementary of 6-(25,11,6444) (# 17535)

---

# 1526: 5-(24,10,5202)

• clan: 11-(30,15,1734), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1527: 5-(24,10,522)

• clan: 11-(30,15,174), 5 times derived, 1 times residual
• $PSL(2,23)$ (27825 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1528: 5-(24,10,5220)

• clan: 13-(32,16,435), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1529: 5-(24,10,5238)

• clan: 11-(30,15,1746), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1530: 5-(24,10,5256)

• clan: 13-(32,16,438), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1531: 5-(24,10,5274)

• clan: 11-(30,15,1758), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1532: 5-(24,10,5292)

• clan: 13-(32,16,441), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1533: 5-(24,10,5310)

• clan: 11-(30,15,1770), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1534: 5-(24,10,5328)

• clan: 13-(32,16,444), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1535: 5-(24,10,5346)

• clan: 11-(30,15,1782), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1536: 5-(24,10,5364)

• clan: 13-(32,16,447), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1537: 5-(24,10,5382)

• clan: 11-(30,15,1794), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1538: 5-(24,10,540)

• clan: 13-(32,16,45), 6 times derived, 2 times residual
• $PSL(2,23)$ (52255 isomorphism types) \cite{KitazumeMunemasa97}
• \cite{Driessen78}

---

# 1539: 5-(24,10,5400)

• clan: 13-(32,16,450), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1540: 5-(24,10,5418)

• clan: 11-(30,15,1806), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1541: 5-(24,10,5436)

• clan: 13-(32,16,453), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1542: 5-(24,10,5454)

• clan: 11-(30,15,1818), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1543: 5-(24,10,5490)

• clan: 11-(30,15,1830), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1544: 5-(24,10,5508)

• clan: 17-(36,18,9), 8 times derived, 4 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1545: 5-(24,10,5526)

• clan: 11-(30,15,1842), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1546: 5-(24,10,5544)

• clan: 13-(32,16,462), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1547: 5-(24,10,5562)

• clan: 11-(30,15,1854), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1548: 5-(24,10,558)

• clan: 11-(30,15,186), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1549: 5-(24,10,5580)

• clan: 13-(32,16,465), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1550: 5-(24,10,5598)

• clan: 11-(30,15,1866), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1551: 5-(24,10,5616)

• clan: 13-(32,16,468), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1552: 5-(24,10,5634)

• clan: 11-(30,15,1878), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1553: 5-(24,10,5652)

• clan: 13-(32,16,471), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1554: 5-(24,10,5670)

• clan: 11-(30,15,1890), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1555: 5-(24,10,5688)

• clan: 13-(32,16,474), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,10,1896) (# 13664)
• derived from 6-(25,11,5688) (# 13665)
• residual design of supplementary of 6-(25,10,1980) (# 13667)
• derived from supplementary of 6-(25,11,5940) (# 13668)

---

# 1556: 5-(24,10,5706)

• clan: 11-(30,15,1902), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1557: 5-(24,10,5724)

• clan: 13-(32,16,477), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1558: 5-(24,10,5742)

• clan: 11-(30,15,1914), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1559: 5-(24,10,576)

• clan: 13-(32,16,48), 6 times derived, 2 times residual
• $PGL(2,23)$ (6 isomorphism types) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (41169 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1560: 5-(24,10,5760)

• clan: 13-(32,16,480), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1561: 5-(24,10,5778)

• clan: 11-(30,15,1926), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,10,1926) (# 13713)
• derived from 6-(25,11,5778) (# 13714)
• residual design of supplementary of 6-(25,10,1950) (# 13716)
• derived from supplementary of 6-(25,11,5850) (# 13717)

---

# 1562: 5-(24,10,5796)

• clan: 13-(32,16,483), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,11,5796) (# 13738)
• derived from supplementary of 6-(25,11,5832) (# 13741)
• residual design of 6-(25,10,1932) (# 17636)
• residual design of supplementary of 6-(25,10,1944) (# 17637)

---

# 1563: 5-(24,10,5814)

• clan: 14-(30,15,8), 3 times reduced t, 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• $PSL(2,23)$ (many isomorphism types) halving of complete design!
• Tran van Trung construction (right) for 5-(23,9,1530) (# 8746) : der= 5-(23,9,1530) and res= 5-(23,10,4284) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,10,4284) (# 8747) : der= 5-(23,9,1530) and res= 5-(23,10,4284) - the given design is the residual.
• design 6-(24,10,1530) (# 9785) with respect to smaller t
• supplementary design of 6-(24,10,1530) (# 9785) with respect to smaller t
• residual design of 6-(25,10,1938) (# 9786)
• residual design of supplementary of 6-(25,10,1938) (# 9786)

---

# 1564: 5-(24,10,594)

• clan: 11-(30,15,198), 5 times derived, 1 times residual
• $PSL(2,23)$ (23963 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1565: 5-(24,10,612)

• clan: 17-(36,18,1), 8 times derived, 4 times residual
• $PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (26131 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1566: 5-(24,10,630)

• clan: 11-(30,15,210), 5 times derived, 1 times residual
• $PSL(2,23)$ (16889 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1567: 5-(24,10,648)

• clan: 13-(32,16,54), 6 times derived, 2 times residual
• $PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (19357 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1568: 5-(24,10,666)

• clan: 11-(30,15,222), 5 times derived, 1 times residual
• $PSL(2,23)$ (10178 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1569: 5-(24,10,684)

• clan: 15-(32,16,1), 2 times reduced t, 6 times derived, 2 times residual
• $PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (12572 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1570: 5-(24,10,702)

• clan: 11-(30,15,234), 5 times derived, 1 times residual
• $PSL(2,23)$ (6096 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1571: 5-(24,10,72)

• clan: 13-(32,16,6), 6 times derived, 2 times residual
• $PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97}

---

# 1572: 5-(24,10,720)

• clan: 13-(32,16,60), 6 times derived, 2 times residual
• $PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (5975 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1573: 5-(24,10,738)

• clan: 11-(30,15,246), 5 times derived, 1 times residual
• $PSL(2,23)$ (3105 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1574: 5-(24,10,756)

• clan: 13-(32,16,63), 6 times derived, 2 times residual
• $PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (2341 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1575: 5-(24,10,774)

• clan: 11-(30,15,258), 5 times derived, 1 times residual
• $PSL(2,23)$ (1163 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1576: 5-(24,10,792)

• clan: 13-(32,16,66), 6 times derived, 2 times residual
• $PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97}
• $PSL(2,23)$ (1052 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1577: 5-(24,10,810)

• clan: 11-(30,15,270), 5 times derived, 1 times residual
• $PSL(2,23)$ (356 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1578: 5-(24,10,828)

• clan: 13-(32,16,69), 6 times derived, 2 times residual
• $PSL(2,23)$ (416 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1579: 5-(24,10,846)

• clan: 11-(30,15,282), 5 times derived, 1 times residual
• $PSL(2,23)$ (139 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1580: 5-(24,10,864)

• clan: 13-(32,16,72), 6 times derived, 2 times residual
• $PSL(2,23)$ (117 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1581: 5-(24,10,882)

• clan: 11-(30,15,294), 5 times derived, 1 times residual
• $PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1582: 5-(24,10,90)

• clan: 11-(30,15,30), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1583: 5-(24,10,900)

• clan: 13-(32,16,75), 6 times derived, 2 times residual
• $PSL(2,23)$ (14 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1584: 5-(24,10,918)

• clan: 11-(30,15,306), 5 times derived, 1 times residual
• $PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1585: 5-(24,10,936)

• clan: 13-(32,16,78), 6 times derived, 2 times residual
• $PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}

---

# 1586: 5-(24,10,954)

• clan: 11-(30,15,318), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1587: 5-(24,10,972)

• clan: 13-(32,16,81), 6 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1588: 5-(24,10,990)

• clan: 11-(30,15,330), 5 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 1589: 5-(24,11,10038)

• clan: 11-(30,15,1434), 4 times derived, 2 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 1590: 5-(25,11,14340)

• clan: 11-(30,15,1434), 1 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(24,11,10038) (# 1589) : der= 5-(24,10,4302) and res= 5-(24,11,10038) - the given design is the residual.

---

# 1591: 5-(24,11,10164)

• clan: 13-(32,16,363), 5 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,12,10164) (# 9996)
• derived from supplementary of 6-(25,12,16968) (# 10007)

---

# 1592: 5-(25,11,14520)

• clan: 13-(32,16,363), 1 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,11,10164) (# 1591) : der= 5-(24,10,4356) and res= 5-(24,11,10164) - the given design is the residual.

---

# 1593: 5-(24,11,10500)

• clan: 13-(32,16,375), 5 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,12,10500) (# 10012)
• derived from supplementary of 6-(25,12,16632) (# 10023)

---

# 1594: 5-(25,11,15000)

• clan: 13-(32,16,375), 1 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,11,10500) (# 1593) : der= 5-(24,10,4500) and res= 5-(24,11,10500) - the given design is the residual.
• residual design of 6-(26,11,6000) (# 14128)
• residual design of supplementary of 6-(26,11,9504) (# 14131)

---

# 1595: 5-(24,11,10626)

• clan: 11-(30,15,1518), 4 times derived, 2 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,12,10626) (# 10028)
• derived from supplementary of 6-(25,12,16506) (# 10039)

---

# 1596: 5-(25,11,15180)

• clan: 11-(30,15,1518), 1 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(24,11,10626) (# 1595) : der= 5-(24,10,4554) and res= 5-(24,11,10626) - the given design is the residual.

---

# 1597: 5-(24,11,11424)

• clan: 17-(36,18,8), 7 times derived, 5 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,12,11424) (# 10106)
• derived from supplementary of 6-(25,12,15708) (# 10117)

---

# 1598: 5-(25,11,16320)

• clan: 17-(36,18,8), 1 times reduced t, 7 times derived, 4 times residual
• Tran van Trung construction (left) for 5-(24,11,11424) (# 1597) : der= 5-(24,10,4896) and res= 5-(24,11,11424) - the given design is the residual.

---

# 1599: 5-(24,11,1260)

• clan: 13-(32,16,45), 5 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

---

created: Fri Oct 23 11:09:44 CEST 2009