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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C5⋊D4

Direct product G=N×Q with N=C22 and Q=C2×C5⋊D4
dρLabelID
C23×C5⋊D4160C2^3xC5:D4320,1627

Semidirect products G=N:Q with N=C22 and Q=C2×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×C5⋊D4) = C2×Dic5⋊D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C22160C2^2:1(C2xC5:D4)320,1474
C22⋊2(C2×C5⋊D4) = D4×C5⋊D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C2280C2^2:2(C2xC5:D4)320,1473
C22⋊3(C2×C5⋊D4) = C2×C23⋊D10φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2:3(C2xC5:D4)320,1471
C22⋊4(C2×C5⋊D4) = C2×C24⋊2D5φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C2280C2^2:4(C2xC5:D4)320,1512

Non-split extensions G=N.Q with N=C22 and Q=C2×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C5⋊D4) = (C2×C20)⋊17D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C22160C2^2.1(C2xC5:D4)320,1504
C22.2(C2×C5⋊D4) = C10.1472+ 1+4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C22160C2^2.2(C2xC5:D4)320,1505
C22.3(C2×C5⋊D4) = C24.42D10φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C2280C2^2.3(C2xC5:D4)320,1478
C22.4(C2×C5⋊D4) = C10.1042- 1+4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C22160C2^2.4(C2xC5:D4)320,1496
C22.5(C2×C5⋊D4) = C10.1452+ 1+4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C2280C2^2.5(C2xC5:D4)320,1501
C22.6(C2×C5⋊D4) = D20.32C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C22808+C2^2.6(C2xC5:D4)320,1507
C22.7(C2×C5⋊D4) = D20.33C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C22808-C2^2.7(C2xC5:D4)320,1508
C22.8(C2×C5⋊D4) = D20.34C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C22808+C2^2.8(C2xC5:D4)320,1509
C22.9(C2×C5⋊D4) = D20.35C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C221608-C2^2.9(C2xC5:D4)320,1510
C22.10(C2×C5⋊D4) = C2×C23⋊Dic5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2.10(C2xC5:D4)320,846
C22.11(C2×C5⋊D4) = C2×D4⋊2Dic5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2.11(C2xC5:D4)320,862
C22.12(C2×C5⋊D4) = (D4×C10)⋊21C4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22804C2^2.12(C2xC5:D4)320,863
C22.13(C2×C5⋊D4) = (D4×C10)⋊22C4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22804C2^2.13(C2xC5:D4)320,867
C22.14(C2×C5⋊D4) = 2+ 1+4⋊D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22408+C2^2.14(C2xC5:D4)320,868
C22.15(C2×C5⋊D4) = 2+ 1+4.D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22808-C2^2.15(C2xC5:D4)320,869
C22.16(C2×C5⋊D4) = 2+ 1+4.2D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22808-C2^2.16(C2xC5:D4)320,870
C22.17(C2×C5⋊D4) = 2+ 1+4⋊2D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22408+C2^2.17(C2xC5:D4)320,871
C22.18(C2×C5⋊D4) = 2- 1+4⋊2D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22808+C2^2.18(C2xC5:D4)320,872
C22.19(C2×C5⋊D4) = 2- 1+4.2D5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22808-C2^2.19(C2xC5:D4)320,873
C22.20(C2×C5⋊D4) = C24⋊8D10φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2.20(C2xC5:D4)320,1476
C22.21(C2×C5⋊D4) = C20.C24φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22804C2^2.21(C2xC5:D4)320,1494
C22.22(C2×C5⋊D4) = C10.1052- 1+4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C22160C2^2.22(C2xC5:D4)320,1497
C22.23(C2×C5⋊D4) = (C2×C20)⋊15D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2.23(C2xC5:D4)320,1500
C22.24(C2×C5⋊D4) = C10.1462+ 1+4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C2280C2^2.24(C2xC5:D4)320,1502
C22.25(C2×C5⋊D4) = C2×D20⋊4C4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C2280C2^2.25(C2xC5:D4)320,554
C22.26(C2×C5⋊D4) = C2×C23.1D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C2280C2^2.26(C2xC5:D4)320,581
C22.27(C2×C5⋊D4) = C42⋊4D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.27(C2xC5:D4)320,632
C22.28(C2×C5⋊D4) = (C2×D20)⋊25C4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.28(C2xC5:D4)320,633
C22.29(C2×C5⋊D4) = C24⋊2D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22404C2^2.29(C2xC5:D4)320,659
C22.30(C2×C5⋊D4) = C22⋊C4⋊D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.30(C2xC5:D4)320,680
C22.31(C2×C5⋊D4) = C42⋊5D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.31(C2xC5:D4)320,688
C22.32(C2×C5⋊D4) = D20.14D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.32(C2xC5:D4)320,689
C22.33(C2×C5⋊D4) = D20⋊5D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22404C2^2.33(C2xC5:D4)320,704
C22.34(C2×C5⋊D4) = D20.15D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22804C2^2.34(C2xC5:D4)320,722
C22.35(C2×C5⋊D4) = C24.72D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C2280C2^2.35(C2xC5:D4)320,1463
C22.36(C2×C5⋊D4) = C24.41D10φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C2280C2^2.36(C2xC5:D4)320,1477
C22.37(C2×C5⋊D4) = C10.442- 1+4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C22160C2^2.37(C2xC5:D4)320,1488
C22.38(C2×C5⋊D4) = C20⋊7(C4⋊C4)central extension (φ=1)320C2^2.38(C2xC5:D4)320,555
C22.39(C2×C5⋊D4) = (C2×C20)⋊10Q8central extension (φ=1)320C2^2.39(C2xC5:D4)320,556
C22.40(C2×C5⋊D4) = C4×C10.D4central extension (φ=1)320C2^2.40(C2xC5:D4)320,558
C22.41(C2×C5⋊D4) = C10.92(C4×D4)central extension (φ=1)320C2^2.41(C2xC5:D4)320,560
C22.42(C2×C5⋊D4) = C4×D10⋊C4central extension (φ=1)160C2^2.42(C2xC5:D4)320,565
C22.43(C2×C5⋊D4) = (C2×C4)⋊6D20central extension (φ=1)160C2^2.43(C2xC5:D4)320,566
C22.44(C2×C5⋊D4) = (C2×C42)⋊D5central extension (φ=1)160C2^2.44(C2xC5:D4)320,567
C22.45(C2×C5⋊D4) = C24.44D10central extension (φ=1)160C2^2.45(C2xC5:D4)320,569
C22.46(C2×C5⋊D4) = C23.42D20central extension (φ=1)160C2^2.46(C2xC5:D4)320,570
C22.47(C2×C5⋊D4) = C24.3D10central extension (φ=1)160C2^2.47(C2xC5:D4)320,571
C22.48(C2×C5⋊D4) = C24.4D10central extension (φ=1)160C2^2.48(C2xC5:D4)320,572
C22.49(C2×C5⋊D4) = C24.46D10central extension (φ=1)160C2^2.49(C2xC5:D4)320,573
C22.50(C2×C5⋊D4) = C24.48D10central extension (φ=1)80C2^2.50(C2xC5:D4)320,582
C22.51(C2×C5⋊D4) = C24.12D10central extension (φ=1)160C2^2.51(C2xC5:D4)320,583
C22.52(C2×C5⋊D4) = C24.13D10central extension (φ=1)160C2^2.52(C2xC5:D4)320,584
C22.53(C2×C5⋊D4) = C23.45D20central extension (φ=1)160C2^2.53(C2xC5:D4)320,585
C22.54(C2×C5⋊D4) = C2×C10.D8central extension (φ=1)320C2^2.54(C2xC5:D4)320,589
C22.55(C2×C5⋊D4) = C2×C20.Q8central extension (φ=1)320C2^2.55(C2xC5:D4)320,590
C22.56(C2×C5⋊D4) = C20.47(C4⋊C4)central extension (φ=1)160C2^2.56(C2xC5:D4)320,591
C22.57(C2×C5⋊D4) = C2×D20⋊6C4central extension (φ=1)160C2^2.57(C2xC5:D4)320,592
C22.58(C2×C5⋊D4) = C4○D20⋊9C4central extension (φ=1)160C2^2.58(C2xC5:D4)320,593
C22.59(C2×C5⋊D4) = C2×C10.Q16central extension (φ=1)320C2^2.59(C2xC5:D4)320,596
C22.60(C2×C5⋊D4) = C10.96(C4×D4)central extension (φ=1)320C2^2.60(C2xC5:D4)320,599
C22.61(C2×C5⋊D4) = C20⋊4(C4⋊C4)central extension (φ=1)320C2^2.61(C2xC5:D4)320,600
C22.62(C2×C5⋊D4) = (C2×Dic5)⋊6Q8central extension (φ=1)320C2^2.62(C2xC5:D4)320,601
C22.63(C2×C5⋊D4) = C20⋊5(C4⋊C4)central extension (φ=1)320C2^2.63(C2xC5:D4)320,603
C22.64(C2×C5⋊D4) = C20.48(C4⋊C4)central extension (φ=1)320C2^2.64(C2xC5:D4)320,604
C22.65(C2×C5⋊D4) = C10.97(C4×D4)central extension (φ=1)320C2^2.65(C2xC5:D4)320,605
C22.66(C2×C5⋊D4) = D10⋊4(C4⋊C4)central extension (φ=1)160C2^2.66(C2xC5:D4)320,614
C22.67(C2×C5⋊D4) = (C2×D20)⋊22C4central extension (φ=1)160C2^2.67(C2xC5:D4)320,615
C22.68(C2×C5⋊D4) = D10⋊5(C4⋊C4)central extension (φ=1)160C2^2.68(C2xC5:D4)320,616
C22.69(C2×C5⋊D4) = C10.90(C4×D4)central extension (φ=1)160C2^2.69(C2xC5:D4)320,617
C22.70(C2×C5⋊D4) = C20.64(C4⋊C4)central extension (φ=1)160C2^2.70(C2xC5:D4)320,622
C22.71(C2×C5⋊D4) = C20.76(C4⋊C4)central extension (φ=1)160C2^2.71(C2xC5:D4)320,625
C22.72(C2×C5⋊D4) = C4⋊C4⋊36D10central extension (φ=1)80C2^2.72(C2xC5:D4)320,628
C22.73(C2×C5⋊D4) = C4○D20⋊10C4central extension (φ=1)160C2^2.73(C2xC5:D4)320,629
C22.74(C2×C5⋊D4) = C4.(C2×D20)central extension (φ=1)160C2^2.74(C2xC5:D4)320,631
C22.75(C2×C5⋊D4) = C4×D4⋊D5central extension (φ=1)160C2^2.75(C2xC5:D4)320,640
C22.76(C2×C5⋊D4) = C42.48D10central extension (φ=1)160C2^2.76(C2xC5:D4)320,641
C22.77(C2×C5⋊D4) = C4×D4.D5central extension (φ=1)160C2^2.77(C2xC5:D4)320,644
C22.78(C2×C5⋊D4) = C42.51D10central extension (φ=1)160C2^2.78(C2xC5:D4)320,645
C22.79(C2×C5⋊D4) = C4×Q8⋊D5central extension (φ=1)160C2^2.79(C2xC5:D4)320,652
C22.80(C2×C5⋊D4) = C42.56D10central extension (φ=1)160C2^2.80(C2xC5:D4)320,653
C22.81(C2×C5⋊D4) = C4×C5⋊Q16central extension (φ=1)320C2^2.81(C2xC5:D4)320,656
C22.82(C2×C5⋊D4) = C42.59D10central extension (φ=1)320C2^2.82(C2xC5:D4)320,657
C22.83(C2×C5⋊D4) = C2×C10.10C42central extension (φ=1)320C2^2.83(C2xC5:D4)320,835
C22.84(C2×C5⋊D4) = C4×C23.D5central extension (φ=1)160C2^2.84(C2xC5:D4)320,836
C22.85(C2×C5⋊D4) = C24.62D10central extension (φ=1)160C2^2.85(C2xC5:D4)320,837
C22.86(C2×C5⋊D4) = C24.63D10central extension (φ=1)160C2^2.86(C2xC5:D4)320,838
C22.87(C2×C5⋊D4) = C24.64D10central extension (φ=1)160C2^2.87(C2xC5:D4)320,839
C22.88(C2×C5⋊D4) = C24.65D10central extension (φ=1)160C2^2.88(C2xC5:D4)320,840
C22.89(C2×C5⋊D4) = C2×D4⋊Dic5central extension (φ=1)160C2^2.89(C2xC5:D4)320,841
C22.90(C2×C5⋊D4) = (D4×C10)⋊18C4central extension (φ=1)80C2^2.90(C2xC5:D4)320,842
C22.91(C2×C5⋊D4) = C24.18D10central extension (φ=1)160C2^2.91(C2xC5:D4)320,847
C22.92(C2×C5⋊D4) = C24.19D10central extension (φ=1)160C2^2.92(C2xC5:D4)320,848
C22.93(C2×C5⋊D4) = C2×Q8⋊Dic5central extension (φ=1)320C2^2.93(C2xC5:D4)320,851
C22.94(C2×C5⋊D4) = (Q8×C10)⋊16C4central extension (φ=1)160C2^2.94(C2xC5:D4)320,852
C22.95(C2×C5⋊D4) = (Q8×C10)⋊17C4central extension (φ=1)320C2^2.95(C2xC5:D4)320,857
C22.96(C2×C5⋊D4) = C4○D4⋊Dic5central extension (φ=1)160C2^2.96(C2xC5:D4)320,859
C22.97(C2×C5⋊D4) = C20.(C2×D4)central extension (φ=1)160C2^2.97(C2xC5:D4)320,860
C22.98(C2×C5⋊D4) = C25.2D5central extension (φ=1)80C2^2.98(C2xC5:D4)320,874
C22.99(C2×C5⋊D4) = C22×C10.D4central extension (φ=1)320C2^2.99(C2xC5:D4)320,1455
C22.100(C2×C5⋊D4) = C2×C20.48D4central extension (φ=1)160C2^2.100(C2xC5:D4)320,1456
C22.101(C2×C5⋊D4) = C22×D10⋊C4central extension (φ=1)160C2^2.101(C2xC5:D4)320,1459
C22.102(C2×C5⋊D4) = C2×C4×C5⋊D4central extension (φ=1)160C2^2.102(C2xC5:D4)320,1460
C22.103(C2×C5⋊D4) = C2×C23.23D10central extension (φ=1)160C2^2.103(C2xC5:D4)320,1461
C22.104(C2×C5⋊D4) = C2×C20⋊7D4central extension (φ=1)160C2^2.104(C2xC5:D4)320,1462
C22.105(C2×C5⋊D4) = C22×D4⋊D5central extension (φ=1)160C2^2.105(C2xC5:D4)320,1464
C22.106(C2×C5⋊D4) = C2×D4.D10central extension (φ=1)80C2^2.106(C2xC5:D4)320,1465
C22.107(C2×C5⋊D4) = C22×D4.D5central extension (φ=1)160C2^2.107(C2xC5:D4)320,1466
C22.108(C2×C5⋊D4) = C2×C23.18D10central extension (φ=1)160C2^2.108(C2xC5:D4)320,1468
C22.109(C2×C5⋊D4) = C2×C20.17D4central extension (φ=1)160C2^2.109(C2xC5:D4)320,1469
C22.110(C2×C5⋊D4) = C2×C20⋊2D4central extension (φ=1)160C2^2.110(C2xC5:D4)320,1472
C22.111(C2×C5⋊D4) = C2×C20⋊D4central extension (φ=1)160C2^2.111(C2xC5:D4)320,1475
C22.112(C2×C5⋊D4) = C22×Q8⋊D5central extension (φ=1)160C2^2.112(C2xC5:D4)320,1479
C22.113(C2×C5⋊D4) = C2×C20.C23central extension (φ=1)160C2^2.113(C2xC5:D4)320,1480
C22.114(C2×C5⋊D4) = C22×C5⋊Q16central extension (φ=1)320C2^2.114(C2xC5:D4)320,1481
C22.115(C2×C5⋊D4) = C2×Dic5⋊Q8central extension (φ=1)320C2^2.115(C2xC5:D4)320,1482
C22.116(C2×C5⋊D4) = C2×D10⋊3Q8central extension (φ=1)160C2^2.116(C2xC5:D4)320,1485
C22.117(C2×C5⋊D4) = C2×C20.23D4central extension (φ=1)160C2^2.117(C2xC5:D4)320,1486
C22.118(C2×C5⋊D4) = C2×D4⋊D10central extension (φ=1)80C2^2.118(C2xC5:D4)320,1492
C22.119(C2×C5⋊D4) = C2×D4.8D10central extension (φ=1)160C2^2.119(C2xC5:D4)320,1493
C22.120(C2×C5⋊D4) = C2×D4.9D10central extension (φ=1)160C2^2.120(C2xC5:D4)320,1495
C22.121(C2×C5⋊D4) = C22×C23.D5central extension (φ=1)160C2^2.121(C2xC5:D4)320,1511
C22.122(C2×C5⋊D4) = C23⋊Dic10central stem extension (φ=1)160C2^2.122(C2xC5:D4)320,574
C22.123(C2×C5⋊D4) = C24.6D10central stem extension (φ=1)160C2^2.123(C2xC5:D4)320,575
C22.124(C2×C5⋊D4) = C24.7D10central stem extension (φ=1)160C2^2.124(C2xC5:D4)320,576
C22.125(C2×C5⋊D4) = C24.9D10central stem extension (φ=1)160C2^2.125(C2xC5:D4)320,579
C22.126(C2×C5⋊D4) = C23.14D20central stem extension (φ=1)160C2^2.126(C2xC5:D4)320,580
C22.127(C2×C5⋊D4) = C24.14D10central stem extension (φ=1)160C2^2.127(C2xC5:D4)320,586
C22.128(C2×C5⋊D4) = C23⋊2D20central stem extension (φ=1)160C2^2.128(C2xC5:D4)320,587
C22.129(C2×C5⋊D4) = C24.16D10central stem extension (φ=1)160C2^2.129(C2xC5:D4)320,588
C22.130(C2×C5⋊D4) = (C2×C10).40D8central stem extension (φ=1)160C2^2.130(C2xC5:D4)320,594
C22.131(C2×C5⋊D4) = C4⋊C4.228D10central stem extension (φ=1)160C2^2.131(C2xC5:D4)320,595
C22.132(C2×C5⋊D4) = C4⋊C4.230D10central stem extension (φ=1)160C2^2.132(C2xC5:D4)320,597
C22.133(C2×C5⋊D4) = C4⋊C4.231D10central stem extension (φ=1)160C2^2.133(C2xC5:D4)320,598
C22.134(C2×C5⋊D4) = (C2×C4)⋊Dic10central stem extension (φ=1)320C2^2.134(C2xC5:D4)320,606
C22.135(C2×C5⋊D4) = (C2×C20).287D4central stem extension (φ=1)320C2^2.135(C2xC5:D4)320,607
C22.136(C2×C5⋊D4) = (C2×C20).288D4central stem extension (φ=1)320C2^2.136(C2xC5:D4)320,609
C22.137(C2×C5⋊D4) = (C2×C20).53D4central stem extension (φ=1)320C2^2.137(C2xC5:D4)320,610
C22.138(C2×C5⋊D4) = (C2×C20).54D4central stem extension (φ=1)320C2^2.138(C2xC5:D4)320,611
C22.139(C2×C5⋊D4) = (C2×C20).55D4central stem extension (φ=1)320C2^2.139(C2xC5:D4)320,613
C22.140(C2×C5⋊D4) = (C2×C4)⋊3D20central stem extension (φ=1)160C2^2.140(C2xC5:D4)320,618
C22.141(C2×C5⋊D4) = (C2×C20).289D4central stem extension (φ=1)160C2^2.141(C2xC5:D4)320,619
C22.142(C2×C5⋊D4) = (C2×C20).290D4central stem extension (φ=1)160C2^2.142(C2xC5:D4)320,620
C22.143(C2×C5⋊D4) = (C2×C20).56D4central stem extension (φ=1)160C2^2.143(C2xC5:D4)320,621
C22.144(C2×C5⋊D4) = C4⋊C4.233D10central stem extension (φ=1)160C2^2.144(C2xC5:D4)320,623
C22.145(C2×C5⋊D4) = C4⋊C4.236D10central stem extension (φ=1)160C2^2.145(C2xC5:D4)320,630
C22.146(C2×C5⋊D4) = C20.50D8central stem extension (φ=1)160C2^2.146(C2xC5:D4)320,634
C22.147(C2×C5⋊D4) = C20.38SD16central stem extension (φ=1)160C2^2.147(C2xC5:D4)320,635
C22.148(C2×C5⋊D4) = D4.3Dic10central stem extension (φ=1)160C2^2.148(C2xC5:D4)320,636
C22.149(C2×C5⋊D4) = C20⋊7D8central stem extension (φ=1)160C2^2.149(C2xC5:D4)320,642
C22.150(C2×C5⋊D4) = D4.1D20central stem extension (φ=1)160C2^2.150(C2xC5:D4)320,643
C22.151(C2×C5⋊D4) = D4.2D20central stem extension (φ=1)160C2^2.151(C2xC5:D4)320,646
C22.152(C2×C5⋊D4) = C20.48SD16central stem extension (φ=1)320C2^2.152(C2xC5:D4)320,647
C22.153(C2×C5⋊D4) = C20.23Q16central stem extension (φ=1)320C2^2.153(C2xC5:D4)320,648
C22.154(C2×C5⋊D4) = Q8.3Dic10central stem extension (φ=1)320C2^2.154(C2xC5:D4)320,649
C22.155(C2×C5⋊D4) = Q8⋊D20central stem extension (φ=1)160C2^2.155(C2xC5:D4)320,654
C22.156(C2×C5⋊D4) = Q8.1D20central stem extension (φ=1)160C2^2.156(C2xC5:D4)320,655
C22.157(C2×C5⋊D4) = C20⋊7Q16central stem extension (φ=1)320C2^2.157(C2xC5:D4)320,658
C22.158(C2×C5⋊D4) = (C2×C10).D8central stem extension (φ=1)160C2^2.158(C2xC5:D4)320,660
C22.159(C2×C5⋊D4) = C4⋊D4.D5central stem extension (φ=1)160C2^2.159(C2xC5:D4)320,661
C22.160(C2×C5⋊D4) = (C2×D4).D10central stem extension (φ=1)160C2^2.160(C2xC5:D4)320,662
C22.161(C2×C5⋊D4) = D20⋊16D4central stem extension (φ=1)80C2^2.161(C2xC5:D4)320,663
C22.162(C2×C5⋊D4) = D20⋊17D4central stem extension (φ=1)160C2^2.162(C2xC5:D4)320,664
C22.163(C2×C5⋊D4) = (C2×C10)⋊D8central stem extension (φ=1)160C2^2.163(C2xC5:D4)320,665
C22.164(C2×C5⋊D4) = C4⋊D4⋊D5central stem extension (φ=1)160C2^2.164(C2xC5:D4)320,666
C22.165(C2×C5⋊D4) = Dic10⋊17D4central stem extension (φ=1)160C2^2.165(C2xC5:D4)320,667
C22.166(C2×C5⋊D4) = C5⋊2C8⋊23D4central stem extension (φ=1)160C2^2.166(C2xC5:D4)320,668
C22.167(C2×C5⋊D4) = C4.(D4×D5)central stem extension (φ=1)160C2^2.167(C2xC5:D4)320,669
C22.168(C2×C5⋊D4) = C22⋊Q8.D5central stem extension (φ=1)160C2^2.168(C2xC5:D4)320,670
C22.169(C2×C5⋊D4) = (C2×C10).Q16central stem extension (φ=1)160C2^2.169(C2xC5:D4)320,671
C22.170(C2×C5⋊D4) = C10.(C4○D8)central stem extension (φ=1)160C2^2.170(C2xC5:D4)320,672
C22.171(C2×C5⋊D4) = D20.36D4central stem extension (φ=1)80C2^2.171(C2xC5:D4)320,673
C22.172(C2×C5⋊D4) = D20.37D4central stem extension (φ=1)160C2^2.172(C2xC5:D4)320,674
C22.173(C2×C5⋊D4) = C5⋊2C8⋊24D4central stem extension (φ=1)160C2^2.173(C2xC5:D4)320,675
C22.174(C2×C5⋊D4) = C22⋊Q8⋊D5central stem extension (φ=1)160C2^2.174(C2xC5:D4)320,676
C22.175(C2×C5⋊D4) = Dic10.37D4central stem extension (φ=1)160C2^2.175(C2xC5:D4)320,677
C22.176(C2×C5⋊D4) = (C2×C10)⋊Q16central stem extension (φ=1)160C2^2.176(C2xC5:D4)320,678
C22.177(C2×C5⋊D4) = C5⋊(C8.D4)central stem extension (φ=1)160C2^2.177(C2xC5:D4)320,679
C22.178(C2×C5⋊D4) = C42.61D10central stem extension (φ=1)160C2^2.178(C2xC5:D4)320,681
C22.179(C2×C5⋊D4) = C42.62D10central stem extension (φ=1)160C2^2.179(C2xC5:D4)320,682
C22.180(C2×C5⋊D4) = C42.213D10central stem extension (φ=1)160C2^2.180(C2xC5:D4)320,683
C22.181(C2×C5⋊D4) = D20.23D4central stem extension (φ=1)160C2^2.181(C2xC5:D4)320,684
C22.182(C2×C5⋊D4) = C42.64D10central stem extension (φ=1)160C2^2.182(C2xC5:D4)320,685
C22.183(C2×C5⋊D4) = C42.214D10central stem extension (φ=1)160C2^2.183(C2xC5:D4)320,686
C22.184(C2×C5⋊D4) = C42.65D10central stem extension (φ=1)160C2^2.184(C2xC5:D4)320,687
C22.185(C2×C5⋊D4) = Dic10.4Q8central stem extension (φ=1)320C2^2.185(C2xC5:D4)320,690
C22.186(C2×C5⋊D4) = C42.215D10central stem extension (φ=1)320C2^2.186(C2xC5:D4)320,691
C22.187(C2×C5⋊D4) = C42.68D10central stem extension (φ=1)320C2^2.187(C2xC5:D4)320,692
C22.188(C2×C5⋊D4) = D20.4Q8central stem extension (φ=1)160C2^2.188(C2xC5:D4)320,693
C22.189(C2×C5⋊D4) = C42.70D10central stem extension (φ=1)160C2^2.189(C2xC5:D4)320,694
C22.190(C2×C5⋊D4) = C42.216D10central stem extension (φ=1)160C2^2.190(C2xC5:D4)320,695
C22.191(C2×C5⋊D4) = C42.71D10central stem extension (φ=1)320C2^2.191(C2xC5:D4)320,696
C22.192(C2×C5⋊D4) = C20.16D8central stem extension (φ=1)160C2^2.192(C2xC5:D4)320,697
C22.193(C2×C5⋊D4) = C42.72D10central stem extension (φ=1)160C2^2.193(C2xC5:D4)320,698
C22.194(C2×C5⋊D4) = C20⋊2D8central stem extension (φ=1)160C2^2.194(C2xC5:D4)320,699
C22.195(C2×C5⋊D4) = C20⋊D8central stem extension (φ=1)160C2^2.195(C2xC5:D4)320,700
C22.196(C2×C5⋊D4) = C42.74D10central stem extension (φ=1)160C2^2.196(C2xC5:D4)320,701
C22.197(C2×C5⋊D4) = Dic10⋊9D4central stem extension (φ=1)160C2^2.197(C2xC5:D4)320,702
C22.198(C2×C5⋊D4) = C20⋊4SD16central stem extension (φ=1)160C2^2.198(C2xC5:D4)320,703
C22.199(C2×C5⋊D4) = C20.17D8central stem extension (φ=1)320C2^2.199(C2xC5:D4)320,705
C22.200(C2×C5⋊D4) = C20.SD16central stem extension (φ=1)320C2^2.200(C2xC5:D4)320,706
C22.201(C2×C5⋊D4) = C42.76D10central stem extension (φ=1)320C2^2.201(C2xC5:D4)320,707
C22.202(C2×C5⋊D4) = C20.Q16central stem extension (φ=1)320C2^2.202(C2xC5:D4)320,708
C22.203(C2×C5⋊D4) = C42.77D10central stem extension (φ=1)320C2^2.203(C2xC5:D4)320,709
C22.204(C2×C5⋊D4) = C20⋊5SD16central stem extension (φ=1)160C2^2.204(C2xC5:D4)320,710
C22.205(C2×C5⋊D4) = D20⋊5Q8central stem extension (φ=1)160C2^2.205(C2xC5:D4)320,711
C22.206(C2×C5⋊D4) = C20⋊6SD16central stem extension (φ=1)160C2^2.206(C2xC5:D4)320,712
C22.207(C2×C5⋊D4) = C42.80D10central stem extension (φ=1)160C2^2.207(C2xC5:D4)320,713
C22.208(C2×C5⋊D4) = D20⋊6Q8central stem extension (φ=1)160C2^2.208(C2xC5:D4)320,714
C22.209(C2×C5⋊D4) = C20.D8central stem extension (φ=1)160C2^2.209(C2xC5:D4)320,715
C22.210(C2×C5⋊D4) = C42.82D10central stem extension (φ=1)160C2^2.210(C2xC5:D4)320,716
C22.211(C2×C5⋊D4) = C20⋊Q16central stem extension (φ=1)320C2^2.211(C2xC5:D4)320,717
C22.212(C2×C5⋊D4) = Dic10⋊5Q8central stem extension (φ=1)320C2^2.212(C2xC5:D4)320,718
C22.213(C2×C5⋊D4) = C20⋊3Q16central stem extension (φ=1)320C2^2.213(C2xC5:D4)320,719
C22.214(C2×C5⋊D4) = C20.11Q16central stem extension (φ=1)320C2^2.214(C2xC5:D4)320,720
C22.215(C2×C5⋊D4) = Dic10⋊6Q8central stem extension (φ=1)320C2^2.215(C2xC5:D4)320,721
C22.216(C2×C5⋊D4) = (C2×C10)⋊8D8central stem extension (φ=1)80C2^2.216(C2xC5:D4)320,844
C22.217(C2×C5⋊D4) = (C5×D4).31D4central stem extension (φ=1)80C2^2.217(C2xC5:D4)320,845
C22.218(C2×C5⋊D4) = C24.20D10central stem extension (φ=1)160C2^2.218(C2xC5:D4)320,849
C22.219(C2×C5⋊D4) = C24.21D10central stem extension (φ=1)160C2^2.219(C2xC5:D4)320,850
C22.220(C2×C5⋊D4) = (C5×Q8)⋊13D4central stem extension (φ=1)160C2^2.220(C2xC5:D4)320,854
C22.221(C2×C5⋊D4) = (C2×C10)⋊8Q16central stem extension (φ=1)160C2^2.221(C2xC5:D4)320,855
C22.222(C2×C5⋊D4) = C10.C22≀C2central stem extension (φ=1)320C2^2.222(C2xC5:D4)320,856
C22.223(C2×C5⋊D4) = (C22×D5)⋊Q8central stem extension (φ=1)160C2^2.223(C2xC5:D4)320,858
C22.224(C2×C5⋊D4) = (C5×D4)⋊14D4central stem extension (φ=1)160C2^2.224(C2xC5:D4)320,865
C22.225(C2×C5⋊D4) = (C5×D4).32D4central stem extension (φ=1)160C2^2.225(C2xC5:D4)320,866

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