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Extensions 1→N→G→Q→1 with N=C32xC6 and Q=C2xC4

Direct product G=NxQ with N=C32xC6 and Q=C2xC4
dρLabelID
C62xC12432C6^2xC12432,730

Semidirect products G=N:Q with N=C32xC6 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
(C32xC6):(C2xC4) = C2xS3xC32:C4φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6248+(C3^2xC6):(C2xC4)432,753
(C32xC6):2(C2xC4) = C2xC6xC32:C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC648(C3^2xC6):2(C2xC4)432,765
(C32xC6):3(C2xC4) = C22xC33:C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC648(C3^2xC6):3(C2xC4)432,766
(C32xC6):4(C2xC4) = S3xC6xDic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6):4(C2xC4)432,651
(C32xC6):5(C2xC4) = C6xC6.D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6):5(C2xC4)432,654
(C32xC6):6(C2xC4) = C2xS3xC3:Dic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6):6(C2xC4)432,674
(C32xC6):7(C2xC4) = C2xDic3xC3:S3φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6):7(C2xC4)432,677
(C32xC6):8(C2xC4) = C2xC33:8(C2xC4)φ: C2xC4/C2 → C22 ⊆ Aut C32xC672(C3^2xC6):8(C2xC4)432,679
(C32xC6):9(C2xC4) = C2xC33:9(C2xC4)φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6):9(C2xC4)432,692
(C32xC6):10(C2xC4) = S3xC6xC12φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6):10(C2xC4)432,701
(C32xC6):11(C2xC4) = C3:S3xC2xC12φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6):11(C2xC4)432,711
(C32xC6):12(C2xC4) = C2xC4xC33:C2φ: C2xC4/C4 → C2 ⊆ Aut C32xC6216(C3^2xC6):12(C2xC4)432,721
(C32xC6):13(C2xC4) = Dic3xC62φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6):13(C2xC4)432,708
(C32xC6):14(C2xC4) = C2xC6xC3:Dic3φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6):14(C2xC4)432,718
(C32xC6):15(C2xC4) = C22xC33:5C4φ: C2xC4/C22 → C2 ⊆ Aut C32xC6432(C3^2xC6):15(C2xC4)432,728

Non-split extensions G=N.Q with N=C32xC6 and Q=C2xC4
extensionφ:Q→Aut NdρLabelID
(C32xC6).1(C2xC4) = Dic3xC32:C4φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6488-(C3^2xC6).1(C2xC4)432,567
(C32xC6).2(C2xC4) = D6:(C32:C4)φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6248+(C3^2xC6).2(C2xC4)432,568
(C32xC6).3(C2xC4) = C33:(C4:C4)φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6488-(C3^2xC6).3(C2xC4)432,569
(C32xC6).4(C2xC4) = S3xC32:2C8φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6488-(C3^2xC6).4(C2xC4)432,570
(C32xC6).5(C2xC4) = C33:5(C2xC8)φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6248+(C3^2xC6).5(C2xC4)432,571
(C32xC6).6(C2xC4) = C33:M4(2)φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6488-(C3^2xC6).6(C2xC4)432,572
(C32xC6).7(C2xC4) = C33:2M4(2)φ: C2xC4/C1 → C2xC4 ⊆ Aut C32xC6248+(C3^2xC6).7(C2xC4)432,573
(C32xC6).8(C2xC4) = C3xC3:S3:3C8φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).8(C2xC4)432,628
(C32xC6).9(C2xC4) = C3xC32:M4(2)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).9(C2xC4)432,629
(C32xC6).10(C2xC4) = C12xC32:C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).10(C2xC4)432,630
(C32xC6).11(C2xC4) = C3xC4:(C32:C4)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).11(C2xC4)432,631
(C32xC6).12(C2xC4) = C6xC32:2C8φ: C2xC4/C2 → C4 ⊆ Aut C32xC648(C3^2xC6).12(C2xC4)432,632
(C32xC6).13(C2xC4) = C3xC62.C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC6244(C3^2xC6).13(C2xC4)432,633
(C32xC6).14(C2xC4) = C3xC62:C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC6244(C3^2xC6).14(C2xC4)432,634
(C32xC6).15(C2xC4) = C33:7(C2xC8)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).15(C2xC4)432,635
(C32xC6).16(C2xC4) = C33:4M4(2)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).16(C2xC4)432,636
(C32xC6).17(C2xC4) = C4xC33:C4φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).17(C2xC4)432,637
(C32xC6).18(C2xC4) = C33:9(C4:C4)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6484(C3^2xC6).18(C2xC4)432,638
(C32xC6).19(C2xC4) = C2xC33:4C8φ: C2xC4/C2 → C4 ⊆ Aut C32xC648(C3^2xC6).19(C2xC4)432,639
(C32xC6).20(C2xC4) = C33:12M4(2)φ: C2xC4/C2 → C4 ⊆ Aut C32xC6244(C3^2xC6).20(C2xC4)432,640
(C32xC6).21(C2xC4) = C62:11Dic3φ: C2xC4/C2 → C4 ⊆ Aut C32xC6244(C3^2xC6).21(C2xC4)432,641
(C32xC6).22(C2xC4) = C3xS3xC3:C8φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).22(C2xC4)432,414
(C32xC6).23(C2xC4) = C3xC12.29D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).23(C2xC4)432,415
(C32xC6).24(C2xC4) = C3xD6.Dic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).24(C2xC4)432,416
(C32xC6).25(C2xC4) = C3xC12.31D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).25(C2xC4)432,417
(C32xC6).26(C2xC4) = C3xDic32φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).26(C2xC4)432,425
(C32xC6).27(C2xC4) = C3xD6:Dic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).27(C2xC4)432,426
(C32xC6).28(C2xC4) = C3xC6.D12φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).28(C2xC4)432,427
(C32xC6).29(C2xC4) = C3xDic3:Dic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).29(C2xC4)432,428
(C32xC6).30(C2xC4) = C3xC62.C22φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).30(C2xC4)432,429
(C32xC6).31(C2xC4) = S3xC32:4C8φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).31(C2xC4)432,430
(C32xC6).32(C2xC4) = C3:S3xC3:C8φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).32(C2xC4)432,431
(C32xC6).33(C2xC4) = C12.69S32φ: C2xC4/C2 → C22 ⊆ Aut C32xC672(C3^2xC6).33(C2xC4)432,432
(C32xC6).34(C2xC4) = C33:7M4(2)φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).34(C2xC4)432,433
(C32xC6).35(C2xC4) = C33:8M4(2)φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).35(C2xC4)432,434
(C32xC6).36(C2xC4) = C33:9M4(2)φ: C2xC4/C2 → C22 ⊆ Aut C32xC672(C3^2xC6).36(C2xC4)432,435
(C32xC6).37(C2xC4) = Dic3xC3:Dic3φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).37(C2xC4)432,448
(C32xC6).38(C2xC4) = C62.77D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).38(C2xC4)432,449
(C32xC6).39(C2xC4) = C62.78D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).39(C2xC4)432,450
(C32xC6).40(C2xC4) = C62.79D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC672(C3^2xC6).40(C2xC4)432,451
(C32xC6).41(C2xC4) = C62.80D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).41(C2xC4)432,452
(C32xC6).42(C2xC4) = C62.81D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).42(C2xC4)432,453
(C32xC6).43(C2xC4) = C62.82D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC6144(C3^2xC6).43(C2xC4)432,454
(C32xC6).44(C2xC4) = C12.93S32φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).44(C2xC4)432,455
(C32xC6).45(C2xC4) = C33:10M4(2)φ: C2xC4/C2 → C22 ⊆ Aut C32xC6484(C3^2xC6).45(C2xC4)432,456
(C32xC6).46(C2xC4) = C33:6C42φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).46(C2xC4)432,460
(C32xC6).47(C2xC4) = C62.84D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).47(C2xC4)432,461
(C32xC6).48(C2xC4) = C62.85D6φ: C2xC4/C2 → C22 ⊆ Aut C32xC648(C3^2xC6).48(C2xC4)432,462
(C32xC6).49(C2xC4) = S3xC3xC24φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).49(C2xC4)432,464
(C32xC6).50(C2xC4) = C32xC8:S3φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).50(C2xC4)432,465
(C32xC6).51(C2xC4) = Dic3xC3xC12φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).51(C2xC4)432,471
(C32xC6).52(C2xC4) = C32xDic3:C4φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).52(C2xC4)432,472
(C32xC6).53(C2xC4) = C32xD6:C4φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).53(C2xC4)432,474
(C32xC6).54(C2xC4) = C3:S3xC24φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).54(C2xC4)432,480
(C32xC6).55(C2xC4) = C3xC24:S3φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).55(C2xC4)432,481
(C32xC6).56(C2xC4) = C12xC3:Dic3φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).56(C2xC4)432,487
(C32xC6).57(C2xC4) = C3xC6.Dic6φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).57(C2xC4)432,488
(C32xC6).58(C2xC4) = C3xC6.11D12φ: C2xC4/C4 → C2 ⊆ Aut C32xC6144(C3^2xC6).58(C2xC4)432,490
(C32xC6).59(C2xC4) = C8xC33:C2φ: C2xC4/C4 → C2 ⊆ Aut C32xC6216(C3^2xC6).59(C2xC4)432,496
(C32xC6).60(C2xC4) = C33:15M4(2)φ: C2xC4/C4 → C2 ⊆ Aut C32xC6216(C3^2xC6).60(C2xC4)432,497
(C32xC6).61(C2xC4) = C4xC33:5C4φ: C2xC4/C4 → C2 ⊆ Aut C32xC6432(C3^2xC6).61(C2xC4)432,503
(C32xC6).62(C2xC4) = C62.146D6φ: C2xC4/C4 → C2 ⊆ Aut C32xC6432(C3^2xC6).62(C2xC4)432,504
(C32xC6).63(C2xC4) = C62.148D6φ: C2xC4/C4 → C2 ⊆ Aut C32xC6216(C3^2xC6).63(C2xC4)432,506
(C32xC6).64(C2xC4) = C3xC6xC3:C8φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6).64(C2xC4)432,469
(C32xC6).65(C2xC4) = C32xC4.Dic3φ: C2xC4/C22 → C2 ⊆ Aut C32xC672(C3^2xC6).65(C2xC4)432,470
(C32xC6).66(C2xC4) = C32xC4:Dic3φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6).66(C2xC4)432,473
(C32xC6).67(C2xC4) = C32xC6.D4φ: C2xC4/C22 → C2 ⊆ Aut C32xC672(C3^2xC6).67(C2xC4)432,479
(C32xC6).68(C2xC4) = C6xC32:4C8φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6).68(C2xC4)432,485
(C32xC6).69(C2xC4) = C3xC12.58D6φ: C2xC4/C22 → C2 ⊆ Aut C32xC672(C3^2xC6).69(C2xC4)432,486
(C32xC6).70(C2xC4) = C3xC12:Dic3φ: C2xC4/C22 → C2 ⊆ Aut C32xC6144(C3^2xC6).70(C2xC4)432,489
(C32xC6).71(C2xC4) = C3xC62:5C4φ: C2xC4/C22 → C2 ⊆ Aut C32xC672(C3^2xC6).71(C2xC4)432,495
(C32xC6).72(C2xC4) = C2xC33:7C8φ: C2xC4/C22 → C2 ⊆ Aut C32xC6432(C3^2xC6).72(C2xC4)432,501
(C32xC6).73(C2xC4) = C33:18M4(2)φ: C2xC4/C22 → C2 ⊆ Aut C32xC6216(C3^2xC6).73(C2xC4)432,502
(C32xC6).74(C2xC4) = C62.147D6φ: C2xC4/C22 → C2 ⊆ Aut C32xC6432(C3^2xC6).74(C2xC4)432,505
(C32xC6).75(C2xC4) = C63.C2φ: C2xC4/C22 → C2 ⊆ Aut C32xC6216(C3^2xC6).75(C2xC4)432,511
(C32xC6).76(C2xC4) = C22:C4xC33central extension (φ=1)216(C3^2xC6).76(C2xC4)432,513
(C32xC6).77(C2xC4) = C4:C4xC33central extension (φ=1)432(C3^2xC6).77(C2xC4)432,514
(C32xC6).78(C2xC4) = M4(2)xC33central extension (φ=1)216(C3^2xC6).78(C2xC4)432,516

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