Extensions 1→N→G→Q→1 with N=C4×S3 and Q=C2×C6

Direct product G=N×Q with N=C4×S3 and Q=C2×C6
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C4×S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C4×S3)⋊1(C2×C6) = C3×D46D6φ: C2×C6/C3C22 ⊆ Out C4×S3244(C4xS3):1(C2xC6)288,994
(C4×S3)⋊2(C2×C6) = C3×D4○D12φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3):2(C2xC6)288,999
(C4×S3)⋊3(C2×C6) = S3×C6×D4φ: C2×C6/C6C2 ⊆ Out C4×S348(C4xS3):3(C2xC6)288,992
(C4×S3)⋊4(C2×C6) = C6×D42S3φ: C2×C6/C6C2 ⊆ Out C4×S348(C4xS3):4(C2xC6)288,993
(C4×S3)⋊5(C2×C6) = C6×Q83S3φ: C2×C6/C6C2 ⊆ Out C4×S396(C4xS3):5(C2xC6)288,996
(C4×S3)⋊6(C2×C6) = C6×C4○D12φ: C2×C6/C6C2 ⊆ Out C4×S348(C4xS3):6(C2xC6)288,991
(C4×S3)⋊7(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3):7(C2xC6)288,998

Non-split extensions G=N.Q with N=C4×S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C4×S3).1(C2×C6) = C3×D8⋊S3φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3).1(C2xC6)288,682
(C4×S3).2(C2×C6) = C3×Q83D6φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3).2(C2xC6)288,685
(C4×S3).3(C2×C6) = C3×D4.D6φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3).3(C2xC6)288,686
(C4×S3).4(C2×C6) = C3×Q16⋊S3φ: C2×C6/C3C22 ⊆ Out C4×S3964(C4xS3).4(C2xC6)288,689
(C4×S3).5(C2×C6) = C3×Q8.15D6φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3).5(C2xC6)288,997
(C4×S3).6(C2×C6) = C3×Q8○D12φ: C2×C6/C3C22 ⊆ Out C4×S3484(C4xS3).6(C2xC6)288,1000
(C4×S3).7(C2×C6) = C3×S3×D8φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).7(C2xC6)288,681
(C4×S3).8(C2×C6) = C3×D83S3φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).8(C2xC6)288,683
(C4×S3).9(C2×C6) = C3×S3×SD16φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).9(C2xC6)288,684
(C4×S3).10(C2×C6) = C3×Q8.7D6φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).10(C2xC6)288,687
(C4×S3).11(C2×C6) = C3×S3×Q16φ: C2×C6/C6C2 ⊆ Out C4×S3964(C4xS3).11(C2xC6)288,688
(C4×S3).12(C2×C6) = C3×D24⋊C2φ: C2×C6/C6C2 ⊆ Out C4×S3964(C4xS3).12(C2xC6)288,690
(C4×S3).13(C2×C6) = S3×C6×Q8φ: C2×C6/C6C2 ⊆ Out C4×S396(C4xS3).13(C2xC6)288,995
(C4×S3).14(C2×C6) = C6×C8⋊S3φ: C2×C6/C6C2 ⊆ Out C4×S396(C4xS3).14(C2xC6)288,671
(C4×S3).15(C2×C6) = C3×C8○D12φ: C2×C6/C6C2 ⊆ Out C4×S3482(C4xS3).15(C2xC6)288,672
(C4×S3).16(C2×C6) = C3×S3×M4(2)φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).16(C2xC6)288,677
(C4×S3).17(C2×C6) = C3×D12.C4φ: C2×C6/C6C2 ⊆ Out C4×S3484(C4xS3).17(C2xC6)288,678
(C4×S3).18(C2×C6) = S3×C2×C24φ: trivial image96(C4xS3).18(C2xC6)288,670

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