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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C2×Q8

Direct product G=N×Q with N=C3×C6 and Q=C2×Q8
dρLabelID
Q8×C62288Q8xC6^2288,1020

Semidirect products G=N:Q with N=C3×C6 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊(C2×Q8) = C22×PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C636(C3xC6):(C2xQ8)288,1032
(C3×C6)⋊2(C2×Q8) = C2×S3×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6):2(C2xQ8)288,942
(C3×C6)⋊3(C2×Q8) = C2×Dic3.D6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6):3(C2xQ8)288,947
(C3×C6)⋊4(C2×Q8) = C22×C32⋊2Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6):4(C2xQ8)288,975
(C3×C6)⋊5(C2×Q8) = C2×C6×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6):5(C2xQ8)288,988
(C3×C6)⋊6(C2×Q8) = C22×C32⋊4Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6):6(C2xQ8)288,1003
(C3×C6)⋊7(C2×Q8) = S3×C6×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6):7(C2xQ8)288,995
(C3×C6)⋊8(C2×Q8) = C2×Q8×C3⋊S3φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6144(C3xC6):8(C2xQ8)288,1010

Non-split extensions G=N.Q with N=C3×C6 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C2×Q8) = C4.3PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C6488(C3xC6).1(C2xQ8)288,891
(C3×C6).2(C2×Q8) = C4×PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C6368(C3xC6).2(C2xQ8)288,892
(C3×C6).3(C2×Q8) = C4⋊PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C6368(C3xC6).3(C2xQ8)288,893
(C3×C6).4(C2×Q8) = C2×C2.PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C648(C3xC6).4(C2xQ8)288,894
(C3×C6).5(C2×Q8) = C62⋊Q8φ: C2×Q8/C2 → Q8 ⊆ Aut C3×C6248+(C3xC6).5(C2xQ8)288,895
(C3×C6).6(C2×Q8) = Dic3⋊5Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).6(C2xQ8)288,485
(C3×C6).7(C2×Q8) = C62.8C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).7(C2xQ8)288,486
(C3×C6).8(C2×Q8) = C62.9C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).8(C2xQ8)288,487
(C3×C6).9(C2×Q8) = C62.10C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).9(C2xQ8)288,488
(C3×C6).10(C2×Q8) = Dic3×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).10(C2xQ8)288,490
(C3×C6).11(C2×Q8) = C62.13C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).11(C2xQ8)288,491
(C3×C6).12(C2×Q8) = Dic3⋊6Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).12(C2xQ8)288,492
(C3×C6).13(C2×Q8) = Dic3.Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).13(C2xQ8)288,493
(C3×C6).14(C2×Q8) = C62.16C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).14(C2xQ8)288,494
(C3×C6).15(C2×Q8) = C62.17C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).15(C2xQ8)288,495
(C3×C6).16(C2×Q8) = D6⋊Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).16(C2xQ8)288,499
(C3×C6).17(C2×Q8) = D6⋊6Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).17(C2xQ8)288,504
(C3×C6).18(C2×Q8) = D6⋊7Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).18(C2xQ8)288,505
(C3×C6).19(C2×Q8) = C62.35C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).19(C2xQ8)288,513
(C3×C6).20(C2×Q8) = Dic3⋊Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).20(C2xQ8)288,514
(C3×C6).21(C2×Q8) = C62.37C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).21(C2xQ8)288,515
(C3×C6).22(C2×Q8) = C62.40C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).22(C2xQ8)288,518
(C3×C6).23(C2×Q8) = C12.30D12φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).23(C2xQ8)288,519
(C3×C6).24(C2×Q8) = C62.43C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).24(C2xQ8)288,521
(C3×C6).25(C2×Q8) = S3×Dic3⋊C4φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).25(C2xQ8)288,524
(C3×C6).26(C2×Q8) = C62.53C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).26(C2xQ8)288,531
(C3×C6).27(C2×Q8) = D6⋊1Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).27(C2xQ8)288,535
(C3×C6).28(C2×Q8) = C62.58C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).28(C2xQ8)288,536
(C3×C6).29(C2×Q8) = S3×C4⋊Dic3φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).29(C2xQ8)288,537
(C3×C6).30(C2×Q8) = D6⋊2Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).30(C2xQ8)288,541
(C3×C6).31(C2×Q8) = C62.65C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).31(C2xQ8)288,543
(C3×C6).32(C2×Q8) = D6⋊3Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).32(C2xQ8)288,544
(C3×C6).33(C2×Q8) = D6⋊4Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).33(C2xQ8)288,547
(C3×C6).34(C2×Q8) = C62.70C23φ: C2×Q8/C4 → C22 ⊆ Aut C3×C648(C3xC6).34(C2xQ8)288,548
(C3×C6).35(C2×Q8) = C12⋊Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C3×C696(C3xC6).35(C2xQ8)288,567
(C3×C6).36(C2×Q8) = C62.39C23φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).36(C2xQ8)288,517
(C3×C6).37(C2×Q8) = C62.42C23φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).37(C2xQ8)288,520
(C3×C6).38(C2×Q8) = C4×C32⋊2Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).38(C2xQ8)288,565
(C3×C6).39(C2×Q8) = C12⋊3Dic6φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).39(C2xQ8)288,566
(C3×C6).40(C2×Q8) = C62⋊3Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3×C648(C3xC6).40(C2xQ8)288,612
(C3×C6).41(C2×Q8) = C2×Dic3⋊Dic3φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).41(C2xQ8)288,613
(C3×C6).42(C2×Q8) = C2×C62.C22φ: C2×Q8/C22 → C22 ⊆ Aut C3×C696(C3xC6).42(C2xQ8)288,615
(C3×C6).43(C2×Q8) = C62⋊4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3×C648(C3xC6).43(C2xQ8)288,630
(C3×C6).44(C2×Q8) = C12×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).44(C2xQ8)288,639
(C3×C6).45(C2×Q8) = C3×C12⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).45(C2xQ8)288,640
(C3×C6).46(C2×Q8) = C3×C12.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).46(C2xQ8)288,641
(C3×C6).47(C2×Q8) = C3×Dic3.D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).47(C2xQ8)288,649
(C3×C6).48(C2×Q8) = C3×C4.Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).48(C2xQ8)288,661
(C3×C6).49(C2×Q8) = C6×Dic3⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).49(C2xQ8)288,694
(C3×C6).50(C2×Q8) = C3×C12.48D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).50(C2xQ8)288,695
(C3×C6).51(C2×Q8) = C6×C4⋊Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).51(C2xQ8)288,696
(C3×C6).52(C2×Q8) = C4×C32⋊4Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).52(C2xQ8)288,725
(C3×C6).53(C2×Q8) = C12⋊6Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).53(C2xQ8)288,726
(C3×C6).54(C2×Q8) = C12.25Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).54(C2xQ8)288,727
(C3×C6).55(C2×Q8) = C62⋊6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).55(C2xQ8)288,735
(C3×C6).56(C2×Q8) = C12⋊2Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).56(C2xQ8)288,745
(C3×C6).57(C2×Q8) = C62.234C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).57(C2xQ8)288,747
(C3×C6).58(C2×Q8) = C2×C6.Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).58(C2xQ8)288,780
(C3×C6).59(C2×Q8) = C62⋊10Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).59(C2xQ8)288,781
(C3×C6).60(C2×Q8) = C2×C12⋊Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).60(C2xQ8)288,782
(C3×C6).61(C2×Q8) = C3×Dic6⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).61(C2xQ8)288,658
(C3×C6).62(C2×Q8) = C3×C12⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).62(C2xQ8)288,659
(C3×C6).63(C2×Q8) = C3×Dic3.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).63(C2xQ8)288,660
(C3×C6).64(C2×Q8) = C3×S3×C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).64(C2xQ8)288,662
(C3×C6).65(C2×Q8) = C3×D6⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).65(C2xQ8)288,667
(C3×C6).66(C2×Q8) = C3×C4.D12φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).66(C2xQ8)288,668
(C3×C6).67(C2×Q8) = C3×Dic3⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).67(C2xQ8)288,715
(C3×C6).68(C2×Q8) = C3×Q8×Dic3φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).68(C2xQ8)288,716
(C3×C6).69(C2×Q8) = C3×D6⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C696(C3xC6).69(C2xQ8)288,717
(C3×C6).70(C2×Q8) = C62.231C23φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).70(C2xQ8)288,744
(C3×C6).71(C2×Q8) = C62.233C23φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).71(C2xQ8)288,746
(C3×C6).72(C2×Q8) = C4⋊C4×C3⋊S3φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6144(C3xC6).72(C2xQ8)288,748
(C3×C6).73(C2×Q8) = C62.240C23φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6144(C3xC6).73(C2xQ8)288,753
(C3×C6).74(C2×Q8) = C12.31D12φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6144(C3xC6).74(C2xQ8)288,754
(C3×C6).75(C2×Q8) = C62.259C23φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).75(C2xQ8)288,801
(C3×C6).76(C2×Q8) = Q8×C3⋊Dic3φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).76(C2xQ8)288,802
(C3×C6).77(C2×Q8) = C62.261C23φ: C2×Q8/Q8 → C2 ⊆ Aut C3×C6144(C3xC6).77(C2xQ8)288,803
(C3×C6).78(C2×Q8) = C4⋊C4×C3×C6central extension (φ=1)288(C3xC6).78(C2xQ8)288,813
(C3×C6).79(C2×Q8) = Q8×C3×C12central extension (φ=1)288(C3xC6).79(C2xQ8)288,816
(C3×C6).80(C2×Q8) = C32×C22⋊Q8central extension (φ=1)144(C3xC6).80(C2xQ8)288,819
(C3×C6).81(C2×Q8) = C32×C42.C2central extension (φ=1)288(C3xC6).81(C2xQ8)288,822
(C3×C6).82(C2×Q8) = C32×C4⋊Q8central extension (φ=1)288(C3xC6).82(C2xQ8)288,825

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