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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C22×C4

Direct product G=N×Q with N=C3×C6 and Q=C22×C4
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C3×C6 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1(C22×C4) = S32×C2×C4φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6):1(C2^2xC4)288,950
(C3×C6)⋊2(C22×C4) = C23×C32⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6):2(C2^2xC4)288,1039
(C3×C6)⋊3(C22×C4) = C22×S3×Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6):3(C2^2xC4)288,969
(C3×C6)⋊4(C22×C4) = C22×C6.D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6):4(C2^2xC4)288,972
(C3×C6)⋊5(C22×C4) = S3×C22×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6):5(C2^2xC4)288,989
(C3×C6)⋊6(C22×C4) = C22×C4×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6):6(C2^2xC4)288,1004
(C3×C6)⋊7(C22×C4) = Dic3×C22×C6φ: C22×C4/C23 → C2 ⊆ Aut C3×C696(C3xC6):7(C2^2xC4)288,1001
(C3×C6)⋊8(C22×C4) = C23×C3⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C6288(C3xC6):8(C2^2xC4)288,1016

Non-split extensions G=N.Q with N=C3×C6 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C22×C4) = S32×C8φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).1(C2^2xC4)288,437
(C3×C6).2(C22×C4) = S3×C8⋊S3φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).2(C2^2xC4)288,438
(C3×C6).3(C22×C4) = C24⋊D6φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).3(C2^2xC4)288,439
(C3×C6).4(C22×C4) = C24.63D6φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).4(C2^2xC4)288,451
(C3×C6).5(C22×C4) = C24.64D6φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).5(C2^2xC4)288,452
(C3×C6).6(C22×C4) = C24.D6φ: C22×C4/C4 → C22 ⊆ Aut C3×C6484(C3xC6).6(C2^2xC4)288,453
(C3×C6).7(C22×C4) = C62.6C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).7(C2^2xC4)288,484
(C3×C6).8(C22×C4) = Dic3⋊5Dic6φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).8(C2^2xC4)288,485
(C3×C6).9(C22×C4) = C62.8C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).9(C2^2xC4)288,486
(C3×C6).10(C22×C4) = S3×Dic3⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).10(C2^2xC4)288,524
(C3×C6).11(C22×C4) = C62.47C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).11(C2^2xC4)288,525
(C3×C6).12(C22×C4) = C62.48C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).12(C2^2xC4)288,526
(C3×C6).13(C22×C4) = C62.49C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).13(C2^2xC4)288,527
(C3×C6).14(C22×C4) = Dic3⋊4D12φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).14(C2^2xC4)288,528
(C3×C6).15(C22×C4) = C62.51C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).15(C2^2xC4)288,529
(C3×C6).16(C22×C4) = C62.53C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).16(C2^2xC4)288,531
(C3×C6).17(C22×C4) = C4×D6⋊S3φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).17(C2^2xC4)288,549
(C3×C6).18(C22×C4) = C62.72C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).18(C2^2xC4)288,550
(C3×C6).19(C22×C4) = C4×C3⋊D12φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).19(C2^2xC4)288,551
(C3×C6).20(C22×C4) = C62.74C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).20(C2^2xC4)288,552
(C3×C6).21(C22×C4) = C4×C32⋊2Q8φ: C22×C4/C4 → C22 ⊆ Aut C3×C696(C3xC6).21(C2^2xC4)288,565
(C3×C6).22(C22×C4) = S3×D6⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).22(C2^2xC4)288,568
(C3×C6).23(C22×C4) = C62.91C23φ: C22×C4/C4 → C22 ⊆ Aut C3×C648(C3xC6).23(C2^2xC4)288,569
(C3×C6).24(C22×C4) = C2×C3⋊S3⋊3C8φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6).24(C2^2xC4)288,929
(C3×C6).25(C22×C4) = C2×C32⋊M4(2)φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6).25(C2^2xC4)288,930
(C3×C6).26(C22×C4) = C3⋊S3⋊M4(2)φ: C22×C4/C22 → C4 ⊆ Aut C3×C6244(C3xC6).26(C2^2xC4)288,931
(C3×C6).27(C22×C4) = C2×C4×C32⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6).27(C2^2xC4)288,932
(C3×C6).28(C22×C4) = C2×C4⋊(C32⋊C4)φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6).28(C2^2xC4)288,933
(C3×C6).29(C22×C4) = (C6×C12)⋊5C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C6244(C3xC6).29(C2^2xC4)288,934
(C3×C6).30(C22×C4) = C62.(C2×C4)φ: C22×C4/C22 → C4 ⊆ Aut C3×C6488-(C3xC6).30(C2^2xC4)288,935
(C3×C6).31(C22×C4) = D4×C32⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C6248+(C3xC6).31(C2^2xC4)288,936
(C3×C6).32(C22×C4) = C12⋊S3.C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C6488+(C3xC6).32(C2^2xC4)288,937
(C3×C6).33(C22×C4) = Q8×C32⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C6488-(C3xC6).33(C2^2xC4)288,938
(C3×C6).34(C22×C4) = C22×C32⋊2C8φ: C22×C4/C22 → C4 ⊆ Aut C3×C696(C3xC6).34(C2^2xC4)288,939
(C3×C6).35(C22×C4) = C2×C62.C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C648(C3xC6).35(C2^2xC4)288,940
(C3×C6).36(C22×C4) = C2×C62⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C3×C624(C3xC6).36(C2^2xC4)288,941
(C3×C6).37(C22×C4) = C2×S3×C3⋊C8φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).37(C2^2xC4)288,460
(C3×C6).38(C22×C4) = S3×C4.Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C6484(C3xC6).38(C2^2xC4)288,461
(C3×C6).39(C22×C4) = D12.2Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C6484(C3xC6).39(C2^2xC4)288,462
(C3×C6).40(C22×C4) = D12.Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C6484(C3xC6).40(C2^2xC4)288,463
(C3×C6).41(C22×C4) = C2×C12.29D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).41(C2^2xC4)288,464
(C3×C6).42(C22×C4) = C3⋊C8.22D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C6484(C3xC6).42(C2^2xC4)288,465
(C3×C6).43(C22×C4) = C3⋊C8⋊20D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C6244(C3xC6).43(C2^2xC4)288,466
(C3×C6).44(C22×C4) = C2×D6.Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).44(C2^2xC4)288,467
(C3×C6).45(C22×C4) = C2×C12.31D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).45(C2^2xC4)288,468
(C3×C6).46(C22×C4) = C62.11C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).46(C2^2xC4)288,489
(C3×C6).47(C22×C4) = Dic3×Dic6φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).47(C2^2xC4)288,490
(C3×C6).48(C22×C4) = C62.13C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).48(C2^2xC4)288,491
(C3×C6).49(C22×C4) = Dic3⋊6Dic6φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).49(C2^2xC4)288,492
(C3×C6).50(C22×C4) = C62.19C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).50(C2^2xC4)288,497
(C3×C6).51(C22×C4) = C62.25C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).51(C2^2xC4)288,503
(C3×C6).52(C22×C4) = C62.44C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).52(C2^2xC4)288,522
(C3×C6).53(C22×C4) = C4×S3×Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).53(C2^2xC4)288,523
(C3×C6).54(C22×C4) = C4×C6.D6φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).54(C2^2xC4)288,530
(C3×C6).55(C22×C4) = S3×C4⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).55(C2^2xC4)288,537
(C3×C6).56(C22×C4) = Dic3×D12φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).56(C2^2xC4)288,540
(C3×C6).57(C22×C4) = Dic3⋊5D12φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).57(C2^2xC4)288,542
(C3×C6).58(C22×C4) = D12⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).58(C2^2xC4)288,546
(C3×C6).59(C22×C4) = C62.70C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).59(C2^2xC4)288,548
(C3×C6).60(C22×C4) = C62.94C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).60(C2^2xC4)288,600
(C3×C6).61(C22×C4) = C2×Dic32φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).61(C2^2xC4)288,602
(C3×C6).62(C22×C4) = C62.97C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).62(C2^2xC4)288,603
(C3×C6).63(C22×C4) = C62.99C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).63(C2^2xC4)288,605
(C3×C6).64(C22×C4) = C2×D6⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).64(C2^2xC4)288,608
(C3×C6).65(C22×C4) = C2×C6.D12φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).65(C2^2xC4)288,611
(C3×C6).66(C22×C4) = C2×Dic3⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).66(C2^2xC4)288,613
(C3×C6).67(C22×C4) = C2×C62.C22φ: C22×C4/C22 → C22 ⊆ Aut C3×C696(C3xC6).67(C2^2xC4)288,615
(C3×C6).68(C22×C4) = S3×C6.D4φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).68(C2^2xC4)288,616
(C3×C6).69(C22×C4) = Dic3×C3⋊D4φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).69(C2^2xC4)288,620
(C3×C6).70(C22×C4) = C62.115C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C648(C3xC6).70(C2^2xC4)288,621
(C3×C6).71(C22×C4) = C62.116C23φ: C22×C4/C22 → C22 ⊆ Aut C3×C624(C3xC6).71(C2^2xC4)288,622
(C3×C6).72(C22×C4) = C12×Dic6φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).72(C2^2xC4)288,639
(C3×C6).73(C22×C4) = S3×C4×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).73(C2^2xC4)288,642
(C3×C6).74(C22×C4) = C3×C42⋊2S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).74(C2^2xC4)288,643
(C3×C6).75(C22×C4) = C12×D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).75(C2^2xC4)288,644
(C3×C6).76(C22×C4) = C3×C23.16D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).76(C2^2xC4)288,648
(C3×C6).77(C22×C4) = C3×S3×C22⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).77(C2^2xC4)288,651
(C3×C6).78(C22×C4) = C3×Dic3⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).78(C2^2xC4)288,652
(C3×C6).79(C22×C4) = C3×Dic6⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).79(C2^2xC4)288,658
(C3×C6).80(C22×C4) = C3×S3×C4⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).80(C2^2xC4)288,662
(C3×C6).81(C22×C4) = C3×C4⋊C4⋊7S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).81(C2^2xC4)288,663
(C3×C6).82(C22×C4) = C3×Dic3⋊5D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).82(C2^2xC4)288,664
(C3×C6).83(C22×C4) = S3×C2×C24φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).83(C2^2xC4)288,670
(C3×C6).84(C22×C4) = C6×C8⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).84(C2^2xC4)288,671
(C3×C6).85(C22×C4) = C3×C8○D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6482(C3xC6).85(C2^2xC4)288,672
(C3×C6).86(C22×C4) = C3×S3×M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6484(C3xC6).86(C2^2xC4)288,677
(C3×C6).87(C22×C4) = C3×D12.C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6484(C3xC6).87(C2^2xC4)288,678
(C3×C6).88(C22×C4) = Dic3×C2×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).88(C2^2xC4)288,693
(C3×C6).89(C22×C4) = C6×Dic3⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).89(C2^2xC4)288,694
(C3×C6).90(C22×C4) = C6×D6⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).90(C2^2xC4)288,698
(C3×C6).91(C22×C4) = C12×C3⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).91(C2^2xC4)288,699
(C3×C6).92(C22×C4) = C4×C32⋊4Q8φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).92(C2^2xC4)288,725
(C3×C6).93(C22×C4) = C42×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).93(C2^2xC4)288,728
(C3×C6).94(C22×C4) = C122⋊16C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).94(C2^2xC4)288,729
(C3×C6).95(C22×C4) = C4×C12⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).95(C2^2xC4)288,730
(C3×C6).96(C22×C4) = C62.221C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).96(C2^2xC4)288,734
(C3×C6).97(C22×C4) = C22⋊C4×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C672(C3xC6).97(C2^2xC4)288,737
(C3×C6).98(C22×C4) = C62.225C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).98(C2^2xC4)288,738
(C3×C6).99(C22×C4) = C62.231C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).99(C2^2xC4)288,744
(C3×C6).100(C22×C4) = C4⋊C4×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).100(C2^2xC4)288,748
(C3×C6).101(C22×C4) = C62.236C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).101(C2^2xC4)288,749
(C3×C6).102(C22×C4) = C62.237C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).102(C2^2xC4)288,750
(C3×C6).103(C22×C4) = C2×C8×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).103(C2^2xC4)288,756
(C3×C6).104(C22×C4) = C2×C24⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).104(C2^2xC4)288,757
(C3×C6).105(C22×C4) = C24.95D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).105(C2^2xC4)288,758
(C3×C6).106(C22×C4) = M4(2)×C3⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C672(C3xC6).106(C2^2xC4)288,763
(C3×C6).107(C22×C4) = C24.47D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).107(C2^2xC4)288,764
(C3×C6).108(C22×C4) = C2×C4×C3⋊Dic3φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).108(C2^2xC4)288,779
(C3×C6).109(C22×C4) = C2×C6.Dic6φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).109(C2^2xC4)288,780
(C3×C6).110(C22×C4) = C2×C6.11D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).110(C2^2xC4)288,784
(C3×C6).111(C22×C4) = C4×C32⋊7D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).111(C2^2xC4)288,785
(C3×C6).112(C22×C4) = C2×C6×C3⋊C8φ: C22×C4/C23 → C2 ⊆ Aut C3×C696(C3xC6).112(C2^2xC4)288,691
(C3×C6).113(C22×C4) = C6×C4.Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C648(C3xC6).113(C2^2xC4)288,692
(C3×C6).114(C22×C4) = C6×C4⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C696(C3xC6).114(C2^2xC4)288,696
(C3×C6).115(C22×C4) = C3×C23.26D6φ: C22×C4/C23 → C2 ⊆ Aut C3×C648(C3xC6).115(C2^2xC4)288,697
(C3×C6).116(C22×C4) = C3×D4×Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C648(C3xC6).116(C2^2xC4)288,705
(C3×C6).117(C22×C4) = C3×Q8×Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C696(C3xC6).117(C2^2xC4)288,716
(C3×C6).118(C22×C4) = C3×D4.Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C6484(C3xC6).118(C2^2xC4)288,719
(C3×C6).119(C22×C4) = C6×C6.D4φ: C22×C4/C23 → C2 ⊆ Aut C3×C648(C3xC6).119(C2^2xC4)288,723
(C3×C6).120(C22×C4) = C22×C32⋊4C8φ: C22×C4/C23 → C2 ⊆ Aut C3×C6288(C3xC6).120(C2^2xC4)288,777
(C3×C6).121(C22×C4) = C2×C12.58D6φ: C22×C4/C23 → C2 ⊆ Aut C3×C6144(C3xC6).121(C2^2xC4)288,778
(C3×C6).122(C22×C4) = C2×C12⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C6288(C3xC6).122(C2^2xC4)288,782
(C3×C6).123(C22×C4) = C62.247C23φ: C22×C4/C23 → C2 ⊆ Aut C3×C6144(C3xC6).123(C2^2xC4)288,783
(C3×C6).124(C22×C4) = D4×C3⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C6144(C3xC6).124(C2^2xC4)288,791
(C3×C6).125(C22×C4) = Q8×C3⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C3×C6288(C3xC6).125(C2^2xC4)288,802
(C3×C6).126(C22×C4) = D4.(C3⋊Dic3)φ: C22×C4/C23 → C2 ⊆ Aut C3×C6144(C3xC6).126(C2^2xC4)288,805
(C3×C6).127(C22×C4) = C2×C62⋊5C4φ: C22×C4/C23 → C2 ⊆ Aut C3×C6144(C3xC6).127(C2^2xC4)288,809
(C3×C6).128(C22×C4) = C22⋊C4×C3×C6central extension (φ=1)144(C3xC6).128(C2^2xC4)288,812
(C3×C6).129(C22×C4) = C4⋊C4×C3×C6central extension (φ=1)288(C3xC6).129(C2^2xC4)288,813
(C3×C6).130(C22×C4) = C32×C42⋊C2central extension (φ=1)144(C3xC6).130(C2^2xC4)288,814
(C3×C6).131(C22×C4) = D4×C3×C12central extension (φ=1)144(C3xC6).131(C2^2xC4)288,815
(C3×C6).132(C22×C4) = Q8×C3×C12central extension (φ=1)288(C3xC6).132(C2^2xC4)288,816
(C3×C6).133(C22×C4) = M4(2)×C3×C6central extension (φ=1)144(C3xC6).133(C2^2xC4)288,827
(C3×C6).134(C22×C4) = C32×C8○D4central extension (φ=1)144(C3xC6).134(C2^2xC4)288,828

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