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Extensions 1→N→G→Q→1 with N=C2×Dic3 and Q=C2×C6

Direct product G=N×Q with N=C2×Dic3 and Q=C2×C6
dρLabelID
Dic3×C22×C696Dic3xC2^2xC6288,1001

Semidirect products G=N:Q with N=C2×Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×Dic3)⋊1(C2×C6) = C3×D6⋊D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):1(C2xC6)288,653
(C2×Dic3)⋊2(C2×C6) = C3×C23⋊2D6φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3):2(C2xC6)288,708
(C2×Dic3)⋊3(C2×C6) = C3×C24⋊4S3φ: C2×C6/C3 → C22 ⊆ Out C2×Dic324(C2xDic3):3(C2xC6)288,724
(C2×Dic3)⋊4(C2×C6) = C3×D4⋊6D6φ: C2×C6/C3 → C22 ⊆ Out C2×Dic3244(C2xDic3):4(C2xC6)288,994
(C2×Dic3)⋊5(C2×C6) = C3×S3×C22⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):5(C2xC6)288,651
(C2×Dic3)⋊6(C2×C6) = C6×D6⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3):6(C2xC6)288,698
(C2×Dic3)⋊7(C2×C6) = C6×C6.D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):7(C2xC6)288,723
(C2×Dic3)⋊8(C2×C6) = S3×C6×D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):8(C2xC6)288,992
(C2×Dic3)⋊9(C2×C6) = C6×D4⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):9(C2xC6)288,993
(C2×Dic3)⋊10(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic3484(C2xDic3):10(C2xC6)288,998
(C2×Dic3)⋊11(C2×C6) = C2×C6×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3):11(C2xC6)288,1002
(C2×Dic3)⋊12(C2×C6) = S3×C22×C12φ: trivial image96(C2xDic3):12(C2xC6)288,989

Non-split extensions G=N.Q with N=C2×Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×Dic3).1(C2×C6) = C3×C12⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).1(C2xC6)288,640
(C2×Dic3).2(C2×C6) = C3×C12.6Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).2(C2xC6)288,641
(C2×Dic3).3(C2×C6) = C3×C42⋊7S3φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).3(C2xC6)288,646
(C2×Dic3).4(C2×C6) = C3×C42⋊3S3φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).4(C2xC6)288,647
(C2×Dic3).5(C2×C6) = C3×Dic3.D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).5(C2xC6)288,649
(C2×Dic3).6(C2×C6) = C3×C23.9D6φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).6(C2xC6)288,654
(C2×Dic3).7(C2×C6) = C3×D6⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).7(C2xC6)288,667
(C2×Dic3).8(C2×C6) = C3×C4.D12φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).8(C2xC6)288,668
(C2×Dic3).9(C2×C6) = C3×C12.48D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).9(C2xC6)288,695
(C2×Dic3).10(C2×C6) = C3×C23.28D6φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).10(C2xC6)288,700
(C2×Dic3).11(C2×C6) = C3×C12⋊7D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).11(C2xC6)288,701
(C2×Dic3).12(C2×C6) = C3×D6⋊3D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic348(C2xDic3).12(C2xC6)288,709
(C2×Dic3).13(C2×C6) = C3×Dic3⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic396(C2xDic3).13(C2xC6)288,715
(C2×Dic3).14(C2×C6) = C3×Q8○D12φ: C2×C6/C3 → C22 ⊆ Out C2×Dic3484(C2xDic3).14(C2xC6)288,1000
(C2×Dic3).15(C2×C6) = C12×Dic6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).15(C2xC6)288,639
(C2×Dic3).16(C2×C6) = C3×C42⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).16(C2xC6)288,643
(C2×Dic3).17(C2×C6) = C12×D12φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).17(C2xC6)288,644
(C2×Dic3).18(C2×C6) = C3×C23.16D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).18(C2xC6)288,648
(C2×Dic3).19(C2×C6) = C3×C23.8D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).19(C2xC6)288,650
(C2×Dic3).20(C2×C6) = C3×Dic3⋊4D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).20(C2xC6)288,652
(C2×Dic3).21(C2×C6) = C3×Dic3⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).21(C2xC6)288,655
(C2×Dic3).22(C2×C6) = C3×C23.11D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).22(C2xC6)288,656
(C2×Dic3).23(C2×C6) = C3×C23.21D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).23(C2xC6)288,657
(C2×Dic3).24(C2×C6) = C3×Dic6⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).24(C2xC6)288,658
(C2×Dic3).25(C2×C6) = C3×C12⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).25(C2xC6)288,659
(C2×Dic3).26(C2×C6) = C3×Dic3.Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).26(C2xC6)288,660
(C2×Dic3).27(C2×C6) = C3×C4.Dic6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).27(C2xC6)288,661
(C2×Dic3).28(C2×C6) = C3×S3×C4⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).28(C2xC6)288,662
(C2×Dic3).29(C2×C6) = C3×D6.D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).29(C2xC6)288,665
(C2×Dic3).30(C2×C6) = C3×C12⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).30(C2xC6)288,666
(C2×Dic3).31(C2×C6) = C3×C4⋊C4⋊S3φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).31(C2xC6)288,669
(C2×Dic3).32(C2×C6) = C6×Dic3⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).32(C2xC6)288,694
(C2×Dic3).33(C2×C6) = C6×C4⋊Dic3φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).33(C2xC6)288,696
(C2×Dic3).34(C2×C6) = C3×C23.26D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).34(C2xC6)288,697
(C2×Dic3).35(C2×C6) = C12×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).35(C2xC6)288,699
(C2×Dic3).36(C2×C6) = C3×C23.23D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).36(C2xC6)288,706
(C2×Dic3).37(C2×C6) = C3×C23.12D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).37(C2xC6)288,707
(C2×Dic3).38(C2×C6) = C3×C23.14D6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).38(C2xC6)288,710
(C2×Dic3).39(C2×C6) = C3×C12⋊3D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).39(C2xC6)288,711
(C2×Dic3).40(C2×C6) = C3×Q8×Dic3φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).40(C2xC6)288,716
(C2×Dic3).41(C2×C6) = C3×D6⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).41(C2xC6)288,717
(C2×Dic3).42(C2×C6) = C3×C12.23D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).42(C2xC6)288,718
(C2×Dic3).43(C2×C6) = C2×C6×Dic6φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).43(C2xC6)288,988
(C2×Dic3).44(C2×C6) = C6×C4○D12φ: C2×C6/C6 → C2 ⊆ Out C2×Dic348(C2xDic3).44(C2xC6)288,991
(C2×Dic3).45(C2×C6) = S3×C6×Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic396(C2xDic3).45(C2xC6)288,995
(C2×Dic3).46(C2×C6) = S3×C4×C12φ: trivial image96(C2xDic3).46(C2xC6)288,642
(C2×Dic3).47(C2×C6) = C3×C4⋊C4⋊7S3φ: trivial image96(C2xDic3).47(C2xC6)288,663
(C2×Dic3).48(C2×C6) = C3×Dic3⋊5D4φ: trivial image96(C2xDic3).48(C2xC6)288,664
(C2×Dic3).49(C2×C6) = Dic3×C2×C12φ: trivial image96(C2xDic3).49(C2xC6)288,693
(C2×Dic3).50(C2×C6) = C3×D4×Dic3φ: trivial image48(C2xDic3).50(C2xC6)288,705
(C2×Dic3).51(C2×C6) = C6×Q8⋊3S3φ: trivial image96(C2xDic3).51(C2xC6)288,996

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