Extensions 1→N→G→Q→1 with N=C4 and Q=C23×D5

Direct product G=N×Q with N=C4 and Q=C23×D5
dρLabelID
D5×C23×C4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=C4 and Q=C23×D5
extensionφ:Q→Aut NdρLabelID
C41(C23×D5) = C22×D4×D5φ: C23×D5/C22×D5C2 ⊆ Aut C480C4:1(C2^3xD5)320,1612
C42(C23×D5) = C23×D20φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4:2(C2^3xD5)320,1610

Non-split extensions G=N.Q with N=C4 and Q=C23×D5
extensionφ:Q→Aut NdρLabelID
C4.1(C23×D5) = C2×D5×D8φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.1(C2^3xD5)320,1426
C4.2(C23×D5) = C2×D8⋊D5φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.2(C2^3xD5)320,1427
C4.3(C23×D5) = C2×D83D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.3(C2^3xD5)320,1428
C4.4(C23×D5) = D813D10φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.4(C2^3xD5)320,1429
C4.5(C23×D5) = C2×D5×SD16φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.5(C2^3xD5)320,1430
C4.6(C23×D5) = C2×D40⋊C2φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.6(C2^3xD5)320,1431
C4.7(C23×D5) = C2×SD16⋊D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.7(C2^3xD5)320,1432
C4.8(C23×D5) = C2×SD163D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.8(C2^3xD5)320,1433
C4.9(C23×D5) = D20.29D4φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.9(C2^3xD5)320,1434
C4.10(C23×D5) = C2×D5×Q16φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.10(C2^3xD5)320,1435
C4.11(C23×D5) = C2×Q16⋊D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.11(C2^3xD5)320,1436
C4.12(C23×D5) = C2×Q8.D10φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.12(C2^3xD5)320,1437
C4.13(C23×D5) = D20.30D4φ: C23×D5/C22×D5C2 ⊆ Aut C41604C4.13(C2^3xD5)320,1438
C4.14(C23×D5) = D5×C4○D8φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.14(C2^3xD5)320,1439
C4.15(C23×D5) = Q16⋊D10φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.15(C2^3xD5)320,1440
C4.16(C23×D5) = D815D10φ: C23×D5/C22×D5C2 ⊆ Aut C4804+C4.16(C2^3xD5)320,1441
C4.17(C23×D5) = D811D10φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.17(C2^3xD5)320,1442
C4.18(C23×D5) = D20.47D4φ: C23×D5/C22×D5C2 ⊆ Aut C41604-C4.18(C2^3xD5)320,1443
C4.19(C23×D5) = D5×C8⋊C22φ: C23×D5/C22×D5C2 ⊆ Aut C4408+C4.19(C2^3xD5)320,1444
C4.20(C23×D5) = SD16⋊D10φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.20(C2^3xD5)320,1445
C4.21(C23×D5) = D85D10φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.21(C2^3xD5)320,1446
C4.22(C23×D5) = D86D10φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.22(C2^3xD5)320,1447
C4.23(C23×D5) = D5×C8.C22φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.23(C2^3xD5)320,1448
C4.24(C23×D5) = D40⋊C22φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.24(C2^3xD5)320,1449
C4.25(C23×D5) = C40.C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.25(C2^3xD5)320,1450
C4.26(C23×D5) = D20.44D4φ: C23×D5/C22×D5C2 ⊆ Aut C41608-C4.26(C2^3xD5)320,1451
C4.27(C23×D5) = C22×D4⋊D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.27(C2^3xD5)320,1464
C4.28(C23×D5) = C2×D4.D10φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.28(C2^3xD5)320,1465
C4.29(C23×D5) = C22×D4.D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.29(C2^3xD5)320,1466
C4.30(C23×D5) = C22×Q8⋊D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.30(C2^3xD5)320,1479
C4.31(C23×D5) = C2×C20.C23φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.31(C2^3xD5)320,1480
C4.32(C23×D5) = C22×C5⋊Q16φ: C23×D5/C22×D5C2 ⊆ Aut C4320C4.32(C2^3xD5)320,1481
C4.33(C23×D5) = C2×D4⋊D10φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.33(C2^3xD5)320,1492
C4.34(C23×D5) = C2×D4.8D10φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.34(C2^3xD5)320,1493
C4.35(C23×D5) = C20.C24φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.35(C2^3xD5)320,1494
C4.36(C23×D5) = C2×D4.9D10φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.36(C2^3xD5)320,1495
C4.37(C23×D5) = D20.32C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.37(C2^3xD5)320,1507
C4.38(C23×D5) = D20.33C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.38(C2^3xD5)320,1508
C4.39(C23×D5) = D20.34C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.39(C2^3xD5)320,1509
C4.40(C23×D5) = D20.35C23φ: C23×D5/C22×D5C2 ⊆ Aut C41608-C4.40(C2^3xD5)320,1510
C4.41(C23×D5) = C22×D42D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.41(C2^3xD5)320,1613
C4.42(C23×D5) = C2×D46D10φ: C23×D5/C22×D5C2 ⊆ Aut C480C4.42(C2^3xD5)320,1614
C4.43(C23×D5) = C22×Q8×D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.43(C2^3xD5)320,1615
C4.44(C23×D5) = C22×Q82D5φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.44(C2^3xD5)320,1616
C4.45(C23×D5) = C2×Q8.10D10φ: C23×D5/C22×D5C2 ⊆ Aut C4160C4.45(C2^3xD5)320,1617
C4.46(C23×D5) = C10.C25φ: C23×D5/C22×D5C2 ⊆ Aut C4804C4.46(C2^3xD5)320,1621
C4.47(C23×D5) = D5×2+ 1+4φ: C23×D5/C22×D5C2 ⊆ Aut C4408+C4.47(C2^3xD5)320,1622
C4.48(C23×D5) = D20.37C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.48(C2^3xD5)320,1623
C4.49(C23×D5) = D5×2- 1+4φ: C23×D5/C22×D5C2 ⊆ Aut C4808-C4.49(C2^3xD5)320,1624
C4.50(C23×D5) = D20.39C23φ: C23×D5/C22×D5C2 ⊆ Aut C4808+C4.50(C2^3xD5)320,1625
C4.51(C23×D5) = C22×C40⋊C2φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4.51(C2^3xD5)320,1411
C4.52(C23×D5) = C22×D40φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4.52(C2^3xD5)320,1412
C4.53(C23×D5) = C2×D407C2φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4.53(C2^3xD5)320,1413
C4.54(C23×D5) = C22×Dic20φ: C23×D5/C22×C10C2 ⊆ Aut C4320C4.54(C2^3xD5)320,1414
C4.55(C23×D5) = C2×C8⋊D10φ: C23×D5/C22×C10C2 ⊆ Aut C480C4.55(C2^3xD5)320,1418
C4.56(C23×D5) = C2×C8.D10φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4.56(C2^3xD5)320,1419
C4.57(C23×D5) = C40.9C23φ: C23×D5/C22×C10C2 ⊆ Aut C4804C4.57(C2^3xD5)320,1420
C4.58(C23×D5) = D4.11D20φ: C23×D5/C22×C10C2 ⊆ Aut C4804C4.58(C2^3xD5)320,1423
C4.59(C23×D5) = D4.12D20φ: C23×D5/C22×C10C2 ⊆ Aut C4804+C4.59(C2^3xD5)320,1424
C4.60(C23×D5) = D4.13D20φ: C23×D5/C22×C10C2 ⊆ Aut C41604-C4.60(C2^3xD5)320,1425
C4.61(C23×D5) = C23×Dic10φ: C23×D5/C22×C10C2 ⊆ Aut C4320C4.61(C2^3xD5)320,1608
C4.62(C23×D5) = C2×D48D10φ: C23×D5/C22×C10C2 ⊆ Aut C480C4.62(C2^3xD5)320,1619
C4.63(C23×D5) = C2×D4.10D10φ: C23×D5/C22×C10C2 ⊆ Aut C4160C4.63(C2^3xD5)320,1620
C4.64(C23×D5) = D5×C22×C8central extension (φ=1)160C4.64(C2^3xD5)320,1408
C4.65(C23×D5) = C22×C8⋊D5central extension (φ=1)160C4.65(C2^3xD5)320,1409
C4.66(C23×D5) = C2×D20.3C4central extension (φ=1)160C4.66(C2^3xD5)320,1410
C4.67(C23×D5) = C2×D5×M4(2)central extension (φ=1)80C4.67(C2^3xD5)320,1415
C4.68(C23×D5) = C2×D20.2C4central extension (φ=1)160C4.68(C2^3xD5)320,1416
C4.69(C23×D5) = C40.47C23central extension (φ=1)804C4.69(C2^3xD5)320,1417
C4.70(C23×D5) = D5×C8○D4central extension (φ=1)804C4.70(C2^3xD5)320,1421
C4.71(C23×D5) = C20.72C24central extension (φ=1)804C4.71(C2^3xD5)320,1422
C4.72(C23×D5) = C23×C52C8central extension (φ=1)320C4.72(C2^3xD5)320,1452
C4.73(C23×D5) = C22×C4.Dic5central extension (φ=1)160C4.73(C2^3xD5)320,1453
C4.74(C23×D5) = C2×D4.Dic5central extension (φ=1)160C4.74(C2^3xD5)320,1490
C4.75(C23×D5) = C20.76C24central extension (φ=1)804C4.75(C2^3xD5)320,1491
C4.76(C23×D5) = C22×C4○D20central extension (φ=1)160C4.76(C2^3xD5)320,1611
C4.77(C23×D5) = C2×D5×C4○D4central extension (φ=1)80C4.77(C2^3xD5)320,1618

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