# Extensions 1→N→G→Q→1 with N=S3×C23 and Q=C6

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

Semidirect products G=N:Q with N=S3×C23 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C23)⋊1C6 = A4×D12φ: C6/C1C6 ⊆ Out S3×C23366+(S3xC2^3):1C6288,920
(S3×C23)⋊2C6 = A4×C3⋊D4φ: C6/C1C6 ⊆ Out S3×C23366(S3xC2^3):2C6288,928
(S3×C23)⋊3C6 = C22×S3×A4φ: C6/C2C3 ⊆ Out S3×C2336(S3xC2^3):3C6288,1037
(S3×C23)⋊4C6 = C3×D6⋊D4φ: C6/C3C2 ⊆ Out S3×C2348(S3xC2^3):4C6288,653
(S3×C23)⋊5C6 = C3×C232D6φ: C6/C3C2 ⊆ Out S3×C2348(S3xC2^3):5C6288,708
(S3×C23)⋊6C6 = C2×C6×D12φ: C6/C3C2 ⊆ Out S3×C2396(S3xC2^3):6C6288,990
(S3×C23)⋊7C6 = S3×C6×D4φ: C6/C3C2 ⊆ Out S3×C2348(S3xC2^3):7C6288,992
(S3×C23)⋊8C6 = C2×C6×C3⋊D4φ: C6/C3C2 ⊆ Out S3×C2348(S3xC2^3):8C6288,1002

Non-split extensions G=N.Q with N=S3×C23 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C23).C6 = C4×S3×A4φ: C6/C2C3 ⊆ Out S3×C23366(S3xC2^3).C6288,919
(S3×C23).2C6 = C3×S3×C22⋊C4φ: C6/C3C2 ⊆ Out S3×C2348(S3xC2^3).2C6288,651
(S3×C23).3C6 = C6×D6⋊C4φ: C6/C3C2 ⊆ Out S3×C2396(S3xC2^3).3C6288,698
(S3×C23).4C6 = S3×C22×C12φ: trivial image96(S3xC2^3).4C6288,989

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