Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C4○D4

Direct product G=N×Q with N=C3×C6 and Q=C4○D4
dρLabelID
C4○D4×C3×C6144C4oD4xC3xC6288,1021

Semidirect products G=N:Q with N=C3×C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1(C4○D4) = C2×D125S3φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6):1(C4oD4)288,943
(C3×C6)⋊2(C4○D4) = C2×D12⋊S3φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6):2(C4oD4)288,944
(C3×C6)⋊3(C4○D4) = C2×D6.D6φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6):3(C4oD4)288,948
(C3×C6)⋊4(C4○D4) = C2×D6.6D6φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6):4(C4oD4)288,949
(C3×C6)⋊5(C4○D4) = C2×D6.3D6φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6):5(C4oD4)288,970
(C3×C6)⋊6(C4○D4) = C2×D6.4D6φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6):6(C4oD4)288,971
(C3×C6)⋊7(C4○D4) = C6×C4○D12φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6):7(C4oD4)288,991
(C3×C6)⋊8(C4○D4) = C2×C12.59D6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6):8(C4oD4)288,1006
(C3×C6)⋊9(C4○D4) = C6×D42S3φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6):9(C4oD4)288,993
(C3×C6)⋊10(C4○D4) = C2×C12.D6φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6):10(C4oD4)288,1008
(C3×C6)⋊11(C4○D4) = C6×Q83S3φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6):11(C4oD4)288,996
(C3×C6)⋊12(C4○D4) = C2×C12.26D6φ: C4○D4/Q8C2 ⊆ Aut C3×C6144(C3xC6):12(C4oD4)288,1011

Non-split extensions G=N.Q with N=C3×C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C4○D4) = C62.6C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).1(C4oD4)288,484
(C3×C6).2(C4○D4) = C62.11C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).2(C4oD4)288,489
(C3×C6).3(C4○D4) = Dic3×Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).3(C4oD4)288,490
(C3×C6).4(C4○D4) = C62.13C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).4(C4oD4)288,491
(C3×C6).5(C4○D4) = Dic36Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).5(C4oD4)288,492
(C3×C6).6(C4○D4) = C62.16C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).6(C4oD4)288,494
(C3×C6).7(C4○D4) = C62.17C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).7(C4oD4)288,495
(C3×C6).8(C4○D4) = C62.19C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).8(C4oD4)288,497
(C3×C6).9(C4○D4) = C62.20C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).9(C4oD4)288,498
(C3×C6).10(C4○D4) = D6⋊Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).10(C4oD4)288,499
(C3×C6).11(C4○D4) = C62.23C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).11(C4oD4)288,501
(C3×C6).12(C4○D4) = C62.24C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).12(C4oD4)288,502
(C3×C6).13(C4○D4) = C62.25C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).13(C4oD4)288,503
(C3×C6).14(C4○D4) = D66Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).14(C4oD4)288,504
(C3×C6).15(C4○D4) = D67Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).15(C4oD4)288,505
(C3×C6).16(C4○D4) = C62.29C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).16(C4oD4)288,507
(C3×C6).17(C4○D4) = C12.27D12φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).17(C4oD4)288,508
(C3×C6).18(C4○D4) = C62.31C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).18(C4oD4)288,509
(C3×C6).19(C4○D4) = C62.32C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).19(C4oD4)288,510
(C3×C6).20(C4○D4) = C62.33C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).20(C4oD4)288,511
(C3×C6).21(C4○D4) = C12.28D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).21(C4oD4)288,512
(C3×C6).22(C4○D4) = C62.35C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).22(C4oD4)288,513
(C3×C6).23(C4○D4) = C62.39C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).23(C4oD4)288,517
(C3×C6).24(C4○D4) = C62.40C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).24(C4oD4)288,518
(C3×C6).25(C4○D4) = C12.30D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).25(C4oD4)288,519
(C3×C6).26(C4○D4) = C62.42C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).26(C4oD4)288,520
(C3×C6).27(C4○D4) = C62.44C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).27(C4oD4)288,522
(C3×C6).28(C4○D4) = C62.47C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).28(C4oD4)288,525
(C3×C6).29(C4○D4) = C62.49C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).29(C4oD4)288,527
(C3×C6).30(C4○D4) = C62.51C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).30(C4oD4)288,529
(C3×C6).31(C4○D4) = C62.54C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).31(C4oD4)288,532
(C3×C6).32(C4○D4) = C62.55C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).32(C4oD4)288,533
(C3×C6).33(C4○D4) = Dic3⋊D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).33(C4oD4)288,534
(C3×C6).34(C4○D4) = D61Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).34(C4oD4)288,535
(C3×C6).35(C4○D4) = C62.58C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).35(C4oD4)288,536
(C3×C6).36(C4○D4) = D6.D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).36(C4oD4)288,538
(C3×C6).37(C4○D4) = Dic3×D12φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).37(C4oD4)288,540
(C3×C6).38(C4○D4) = Dic35D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).38(C4oD4)288,542
(C3×C6).39(C4○D4) = D63Dic6φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).39(C4oD4)288,544
(C3×C6).40(C4○D4) = C62.67C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).40(C4oD4)288,545
(C3×C6).41(C4○D4) = D12⋊Dic3φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).41(C4oD4)288,546
(C3×C6).42(C4○D4) = C4×D6⋊S3φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).42(C4oD4)288,549
(C3×C6).43(C4○D4) = C4×C3⋊D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).43(C4oD4)288,551
(C3×C6).44(C4○D4) = C62.74C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).44(C4oD4)288,552
(C3×C6).45(C4○D4) = C62.75C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).45(C4oD4)288,553
(C3×C6).46(C4○D4) = D6⋊D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).46(C4oD4)288,554
(C3×C6).47(C4○D4) = C62.77C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).47(C4oD4)288,555
(C3×C6).48(C4○D4) = D62D12φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).48(C4oD4)288,556
(C3×C6).49(C4○D4) = C127D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).49(C4oD4)288,557
(C3×C6).50(C4○D4) = Dic33D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).50(C4oD4)288,558
(C3×C6).51(C4○D4) = C62.82C23φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).51(C4oD4)288,560
(C3×C6).52(C4○D4) = C62.83C23φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).52(C4oD4)288,561
(C3×C6).53(C4○D4) = C122D12φ: C4○D4/C4C22 ⊆ Aut C3×C648(C3xC6).53(C4oD4)288,564
(C3×C6).54(C4○D4) = C4×C322Q8φ: C4○D4/C4C22 ⊆ Aut C3×C696(C3xC6).54(C4oD4)288,565
(C3×C6).55(C4○D4) = Dic35Dic6φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).55(C4oD4)288,485
(C3×C6).56(C4○D4) = C62.8C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).56(C4oD4)288,486
(C3×C6).57(C4○D4) = Dic3.Dic6φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).57(C4oD4)288,493
(C3×C6).58(C4○D4) = C62.18C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).58(C4oD4)288,496
(C3×C6).59(C4○D4) = Dic3.D12φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).59(C4oD4)288,500
(C3×C6).60(C4○D4) = C62.28C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).60(C4oD4)288,506
(C3×C6).61(C4○D4) = C62.37C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).61(C4oD4)288,515
(C3×C6).62(C4○D4) = C62.38C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).62(C4oD4)288,516
(C3×C6).63(C4○D4) = C62.48C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).63(C4oD4)288,526
(C3×C6).64(C4○D4) = Dic34D12φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).64(C4oD4)288,528
(C3×C6).65(C4○D4) = D6.9D12φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).65(C4oD4)288,539
(C3×C6).66(C4○D4) = D62Dic6φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).66(C4oD4)288,541
(C3×C6).67(C4○D4) = C62.65C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).67(C4oD4)288,543
(C3×C6).68(C4○D4) = D64Dic6φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).68(C4oD4)288,547
(C3×C6).69(C4○D4) = C62.72C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).69(C4oD4)288,550
(C3×C6).70(C4○D4) = C62.85C23φ: C4○D4/C22C22 ⊆ Aut C3×C696(C3xC6).70(C4oD4)288,563
(C3×C6).71(C4○D4) = C62.94C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).71(C4oD4)288,600
(C3×C6).72(C4○D4) = C62.95C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).72(C4oD4)288,601
(C3×C6).73(C4○D4) = C62.97C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).73(C4oD4)288,603
(C3×C6).74(C4○D4) = C62.98C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).74(C4oD4)288,604
(C3×C6).75(C4○D4) = C62.99C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).75(C4oD4)288,605
(C3×C6).76(C4○D4) = C62.100C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).76(C4oD4)288,606
(C3×C6).77(C4○D4) = C62.101C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).77(C4oD4)288,607
(C3×C6).78(C4○D4) = C62.56D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).78(C4oD4)288,609
(C3×C6).79(C4○D4) = C62.57D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).79(C4oD4)288,610
(C3×C6).80(C4○D4) = C623Q8φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).80(C4oD4)288,612
(C3×C6).81(C4○D4) = C62.60D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).81(C4oD4)288,614
(C3×C6).82(C4○D4) = C62.111C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).82(C4oD4)288,617
(C3×C6).83(C4○D4) = C62.112C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).83(C4oD4)288,618
(C3×C6).84(C4○D4) = C62.113C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).84(C4oD4)288,619
(C3×C6).85(C4○D4) = Dic3×C3⋊D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).85(C4oD4)288,620
(C3×C6).86(C4○D4) = C62.115C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).86(C4oD4)288,621
(C3×C6).87(C4○D4) = C62.117C23φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).87(C4oD4)288,623
(C3×C6).88(C4○D4) = C626D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).88(C4oD4)288,626
(C3×C6).89(C4○D4) = C627D4φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).89(C4oD4)288,628
(C3×C6).90(C4○D4) = C624Q8φ: C4○D4/C22C22 ⊆ Aut C3×C648(C3xC6).90(C4oD4)288,630
(C3×C6).91(C4○D4) = C12×Dic6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).91(C4oD4)288,639
(C3×C6).92(C4○D4) = C3×C12.6Q8φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).92(C4oD4)288,641
(C3×C6).93(C4○D4) = C3×C422S3φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).93(C4oD4)288,643
(C3×C6).94(C4○D4) = C12×D12φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).94(C4oD4)288,644
(C3×C6).95(C4○D4) = C3×C427S3φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).95(C4oD4)288,646
(C3×C6).96(C4○D4) = C3×C423S3φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).96(C4oD4)288,647
(C3×C6).97(C4○D4) = C3×C23.9D6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).97(C4oD4)288,654
(C3×C6).98(C4○D4) = C3×Dic3⋊D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).98(C4oD4)288,655
(C3×C6).99(C4○D4) = C3×C23.11D6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).99(C4oD4)288,656
(C3×C6).100(C4○D4) = C3×D6.D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).100(C4oD4)288,665
(C3×C6).101(C4○D4) = C3×D6⋊Q8φ: C4○D4/C2×C4C2 ⊆ Aut C3×C696(C3xC6).101(C4oD4)288,667
(C3×C6).102(C4○D4) = C3×C12.48D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).102(C4oD4)288,695
(C3×C6).103(C4○D4) = C3×C23.26D6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).103(C4oD4)288,697
(C3×C6).104(C4○D4) = C12×C3⋊D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).104(C4oD4)288,699
(C3×C6).105(C4○D4) = C3×C23.28D6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).105(C4oD4)288,700
(C3×C6).106(C4○D4) = C3×C127D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C648(C3xC6).106(C4oD4)288,701
(C3×C6).107(C4○D4) = C4×C324Q8φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).107(C4oD4)288,725
(C3×C6).108(C4○D4) = C12.25Dic6φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6288(C3xC6).108(C4oD4)288,727
(C3×C6).109(C4○D4) = C12216C2φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).109(C4oD4)288,729
(C3×C6).110(C4○D4) = C4×C12⋊S3φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).110(C4oD4)288,730
(C3×C6).111(C4○D4) = C1226C2φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).111(C4oD4)288,732
(C3×C6).112(C4○D4) = C1222C2φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).112(C4oD4)288,733
(C3×C6).113(C4○D4) = C62.223C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).113(C4oD4)288,736
(C3×C6).114(C4○D4) = C62.227C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).114(C4oD4)288,740
(C3×C6).115(C4○D4) = C62.228C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).115(C4oD4)288,741
(C3×C6).116(C4○D4) = C62.229C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).116(C4oD4)288,742
(C3×C6).117(C4○D4) = C62.238C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).117(C4oD4)288,751
(C3×C6).118(C4○D4) = C62.240C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).118(C4oD4)288,753
(C3×C6).119(C4○D4) = C62.242C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).119(C4oD4)288,755
(C3×C6).120(C4○D4) = C6210Q8φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).120(C4oD4)288,781
(C3×C6).121(C4○D4) = C62.247C23φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).121(C4oD4)288,783
(C3×C6).122(C4○D4) = C4×C327D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).122(C4oD4)288,785
(C3×C6).123(C4○D4) = C62.129D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).123(C4oD4)288,786
(C3×C6).124(C4○D4) = C6219D4φ: C4○D4/C2×C4C2 ⊆ Aut C3×C6144(C3xC6).124(C4oD4)288,787
(C3×C6).125(C4○D4) = C3×C23.16D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).125(C4oD4)288,648
(C3×C6).126(C4○D4) = C3×Dic3.D4φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).126(C4oD4)288,649
(C3×C6).127(C4○D4) = C3×C23.8D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).127(C4oD4)288,650
(C3×C6).128(C4○D4) = C3×Dic34D4φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).128(C4oD4)288,652
(C3×C6).129(C4○D4) = C3×C23.21D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).129(C4oD4)288,657
(C3×C6).130(C4○D4) = C3×Dic6⋊C4φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).130(C4oD4)288,658
(C3×C6).131(C4○D4) = C3×Dic3.Q8φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).131(C4oD4)288,660
(C3×C6).132(C4○D4) = C3×C4.Dic6φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).132(C4oD4)288,661
(C3×C6).133(C4○D4) = C3×C4⋊C47S3φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).133(C4oD4)288,663
(C3×C6).134(C4○D4) = C3×C4.D12φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).134(C4oD4)288,668
(C3×C6).135(C4○D4) = C3×C4⋊C4⋊S3φ: C4○D4/D4C2 ⊆ Aut C3×C696(C3xC6).135(C4oD4)288,669
(C3×C6).136(C4○D4) = C3×D4×Dic3φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).136(C4oD4)288,705
(C3×C6).137(C4○D4) = C3×C23.23D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).137(C4oD4)288,706
(C3×C6).138(C4○D4) = C3×C23.12D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).138(C4oD4)288,707
(C3×C6).139(C4○D4) = C3×D63D4φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).139(C4oD4)288,709
(C3×C6).140(C4○D4) = C3×C23.14D6φ: C4○D4/D4C2 ⊆ Aut C3×C648(C3xC6).140(C4oD4)288,710
(C3×C6).141(C4○D4) = C62.221C23φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).141(C4oD4)288,734
(C3×C6).142(C4○D4) = C626Q8φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).142(C4oD4)288,735
(C3×C6).143(C4○D4) = C62.225C23φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).143(C4oD4)288,738
(C3×C6).144(C4○D4) = C62.69D4φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).144(C4oD4)288,743
(C3×C6).145(C4○D4) = C62.231C23φ: C4○D4/D4C2 ⊆ Aut C3×C6288(C3xC6).145(C4oD4)288,744
(C3×C6).146(C4○D4) = C62.233C23φ: C4○D4/D4C2 ⊆ Aut C3×C6288(C3xC6).146(C4oD4)288,746
(C3×C6).147(C4○D4) = C62.234C23φ: C4○D4/D4C2 ⊆ Aut C3×C6288(C3xC6).147(C4oD4)288,747
(C3×C6).148(C4○D4) = C62.236C23φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).148(C4oD4)288,749
(C3×C6).149(C4○D4) = C12.31D12φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).149(C4oD4)288,754
(C3×C6).150(C4○D4) = D4×C3⋊Dic3φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).150(C4oD4)288,791
(C3×C6).151(C4○D4) = C62.72D4φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).151(C4oD4)288,792
(C3×C6).152(C4○D4) = C62.254C23φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).152(C4oD4)288,793
(C3×C6).153(C4○D4) = C62.256C23φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).153(C4oD4)288,795
(C3×C6).154(C4○D4) = C6214D4φ: C4○D4/D4C2 ⊆ Aut C3×C6144(C3xC6).154(C4oD4)288,796
(C3×C6).155(C4○D4) = C3×Dic35D4φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6).155(C4oD4)288,664
(C3×C6).156(C4○D4) = C3×C12⋊D4φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6).156(C4oD4)288,666
(C3×C6).157(C4○D4) = C3×Q8×Dic3φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6).157(C4oD4)288,716
(C3×C6).158(C4○D4) = C3×D63Q8φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6).158(C4oD4)288,717
(C3×C6).159(C4○D4) = C3×C12.23D4φ: C4○D4/Q8C2 ⊆ Aut C3×C696(C3xC6).159(C4oD4)288,718
(C3×C6).160(C4○D4) = C62.237C23φ: C4○D4/Q8C2 ⊆ Aut C3×C6144(C3xC6).160(C4oD4)288,750
(C3×C6).161(C4○D4) = C123D12φ: C4○D4/Q8C2 ⊆ Aut C3×C6144(C3xC6).161(C4oD4)288,752
(C3×C6).162(C4○D4) = Q8×C3⋊Dic3φ: C4○D4/Q8C2 ⊆ Aut C3×C6288(C3xC6).162(C4oD4)288,802
(C3×C6).163(C4○D4) = C62.261C23φ: C4○D4/Q8C2 ⊆ Aut C3×C6144(C3xC6).163(C4oD4)288,803
(C3×C6).164(C4○D4) = C62.262C23φ: C4○D4/Q8C2 ⊆ Aut C3×C6144(C3xC6).164(C4oD4)288,804
(C3×C6).165(C4○D4) = C32×C42⋊C2central extension (φ=1)144(C3xC6).165(C4oD4)288,814
(C3×C6).166(C4○D4) = D4×C3×C12central extension (φ=1)144(C3xC6).166(C4oD4)288,815
(C3×C6).167(C4○D4) = Q8×C3×C12central extension (φ=1)288(C3xC6).167(C4oD4)288,816
(C3×C6).168(C4○D4) = C32×C4⋊D4central extension (φ=1)144(C3xC6).168(C4oD4)288,818
(C3×C6).169(C4○D4) = C32×C22⋊Q8central extension (φ=1)144(C3xC6).169(C4oD4)288,819
(C3×C6).170(C4○D4) = C32×C22.D4central extension (φ=1)144(C3xC6).170(C4oD4)288,820
(C3×C6).171(C4○D4) = C32×C4.4D4central extension (φ=1)144(C3xC6).171(C4oD4)288,821
(C3×C6).172(C4○D4) = C32×C42.C2central extension (φ=1)288(C3xC6).172(C4oD4)288,822
(C3×C6).173(C4○D4) = C32×C422C2central extension (φ=1)144(C3xC6).173(C4oD4)288,823

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