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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C2×C6

Direct product G=N×Q with N=C22×S3 and Q=C2×C6
dρLabelID
S3×C23×C696S3xC2^3xC6288,1043

Semidirect products G=N:Q with N=C22×S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1(C2×C6) = C3×D6⋊D4φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3):1(C2xC6)288,653
(C22×S3)⋊2(C2×C6) = C3×C24⋊4S3φ: C2×C6/C3 → C22 ⊆ Out C22×S324(C2^2xS3):2(C2xC6)288,724
(C22×S3)⋊3(C2×C6) = C3×D4⋊6D6φ: C2×C6/C3 → C22 ⊆ Out C22×S3244(C2^2xS3):3(C2xC6)288,994
(C22×S3)⋊4(C2×C6) = C3×D4○D12φ: C2×C6/C3 → C22 ⊆ Out C22×S3484(C2^2xS3):4(C2xC6)288,999
(C22×S3)⋊5(C2×C6) = C22×S3×A4φ: C2×C6/C22 → C3 ⊆ Out C22×S336(C2^2xS3):5(C2xC6)288,1037
(C22×S3)⋊6(C2×C6) = C2×C6×D12φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3):6(C2xC6)288,990
(C22×S3)⋊7(C2×C6) = S3×C6×D4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3):7(C2xC6)288,992
(C22×S3)⋊8(C2×C6) = C2×C6×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3):8(C2xC6)288,1002

Non-split extensions G=N.Q with N=C22×S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C22×S3).1(C2×C6) = C3×C4⋊D12φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).1(C2xC6)288,645
(C22×S3).2(C2×C6) = C3×C42⋊7S3φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).2(C2xC6)288,646
(C22×S3).3(C2×C6) = C3×C42⋊3S3φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).3(C2xC6)288,647
(C22×S3).4(C2×C6) = C3×Dic3⋊D4φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).4(C2xC6)288,655
(C22×S3).5(C2×C6) = C3×C23.11D6φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).5(C2xC6)288,656
(C22×S3).6(C2×C6) = C3×C23.21D6φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).6(C2xC6)288,657
(C22×S3).7(C2×C6) = C3×C12⋊D4φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).7(C2xC6)288,666
(C22×S3).8(C2×C6) = C3×C4⋊C4⋊S3φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).8(C2xC6)288,669
(C22×S3).9(C2×C6) = C3×C23.28D6φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).9(C2xC6)288,700
(C22×S3).10(C2×C6) = C3×C12⋊7D4φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).10(C2xC6)288,701
(C22×S3).11(C2×C6) = C3×C23.14D6φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).11(C2xC6)288,710
(C22×S3).12(C2×C6) = C3×C12⋊3D4φ: C2×C6/C3 → C22 ⊆ Out C22×S348(C2^2xS3).12(C2xC6)288,711
(C22×S3).13(C2×C6) = C3×C12.23D4φ: C2×C6/C3 → C22 ⊆ Out C22×S396(C2^2xS3).13(C2xC6)288,718
(C22×S3).14(C2×C6) = C3×C42⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).14(C2xC6)288,643
(C22×S3).15(C2×C6) = C12×D12φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).15(C2xC6)288,644
(C22×S3).16(C2×C6) = C3×S3×C22⋊C4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).16(C2xC6)288,651
(C22×S3).17(C2×C6) = C3×Dic3⋊4D4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).17(C2xC6)288,652
(C22×S3).18(C2×C6) = C3×C23.9D6φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).18(C2xC6)288,654
(C22×S3).19(C2×C6) = C3×C4⋊C4⋊7S3φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).19(C2xC6)288,663
(C22×S3).20(C2×C6) = C3×Dic3⋊5D4φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).20(C2xC6)288,664
(C22×S3).21(C2×C6) = C3×D6.D4φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).21(C2xC6)288,665
(C22×S3).22(C2×C6) = C3×D6⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).22(C2xC6)288,667
(C22×S3).23(C2×C6) = C3×C4.D12φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).23(C2xC6)288,668
(C22×S3).24(C2×C6) = C6×D6⋊C4φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).24(C2xC6)288,698
(C22×S3).25(C2×C6) = C12×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).25(C2xC6)288,699
(C22×S3).26(C2×C6) = C3×C23⋊2D6φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).26(C2xC6)288,708
(C22×S3).27(C2×C6) = C3×D6⋊3D4φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).27(C2xC6)288,709
(C22×S3).28(C2×C6) = C3×D6⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).28(C2xC6)288,717
(C22×S3).29(C2×C6) = C6×C4○D12φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).29(C2xC6)288,991
(C22×S3).30(C2×C6) = C6×D4⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C22×S348(C2^2xS3).30(C2xC6)288,993
(C22×S3).31(C2×C6) = C6×Q8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out C22×S396(C2^2xS3).31(C2xC6)288,996
(C22×S3).32(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6 → C2 ⊆ Out C22×S3484(C2^2xS3).32(C2xC6)288,998
(C22×S3).33(C2×C6) = S3×C4×C12φ: trivial image96(C2^2xS3).33(C2xC6)288,642
(C22×S3).34(C2×C6) = C3×S3×C4⋊C4φ: trivial image96(C2^2xS3).34(C2xC6)288,662
(C22×S3).35(C2×C6) = S3×C22×C12φ: trivial image96(C2^2xS3).35(C2xC6)288,989
(C22×S3).36(C2×C6) = S3×C6×Q8φ: trivial image96(C2^2xS3).36(C2xC6)288,995

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