Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C3×C6

Direct product G=N×Q with N=C22×S3 and Q=C3×C6
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=C22×S3 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊(C3×C6) = S3×C6×A4φ: C3×C6/C6C3 ⊆ Out C22×S3366(C2^2xS3):(C3xC6)432,763
(C22×S3)⋊2(C3×C6) = C3×C6×D12φ: C3×C6/C32C2 ⊆ Out C22×S3144(C2^2xS3):2(C3xC6)432,702
(C22×S3)⋊3(C3×C6) = S3×D4×C32φ: C3×C6/C32C2 ⊆ Out C22×S372(C2^2xS3):3(C3xC6)432,704
(C22×S3)⋊4(C3×C6) = C3×C6×C3⋊D4φ: C3×C6/C32C2 ⊆ Out C22×S372(C2^2xS3):4(C3xC6)432,709

Non-split extensions G=N.Q with N=C22×S3 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C22×S3).(C3×C6) = C32×D6⋊C4φ: C3×C6/C32C2 ⊆ Out C22×S3144(C2^2xS3).(C3xC6)432,474
(C22×S3).2(C3×C6) = S3×C6×C12φ: trivial image144(C2^2xS3).2(C3xC6)432,701

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