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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C4⋊C4

Direct product G=N×Q with N=C3⋊S3 and Q=C4⋊C4
dρLabelID
C4⋊C4×C3⋊S3144C4:C4xC3:S3288,748

Semidirect products G=N:Q with N=C3⋊S3 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊1(C4⋊C4) = C2×C3⋊S3.Q8φ: C4⋊C4/C22 → C22 ⊆ Out C3⋊S348C3:S3:1(C4:C4)288,882
C3⋊S3⋊2(C4⋊C4) = C2×C2.PSU3(𝔽2)φ: C4⋊C4/C22 → C22 ⊆ Out C3⋊S348C3:S3:2(C4:C4)288,894
C3⋊S3⋊3(C4⋊C4) = C62.53C23φ: C4⋊C4/C2×C4 → C2 ⊆ Out C3⋊S348C3:S3:3(C4:C4)288,531
C3⋊S3⋊4(C4⋊C4) = C62.70C23φ: C4⋊C4/C2×C4 → C2 ⊆ Out C3⋊S348C3:S3:4(C4:C4)288,548
C3⋊S3⋊5(C4⋊C4) = C2×C4⋊(C32⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out C3⋊S348C3:S3:5(C4:C4)288,933

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
C3⋊S3.(C4⋊C4) = F9⋊C4φ: C4⋊C4/C2 → D4 ⊆ Out C3⋊S3368C3:S3.(C4:C4)288,843
C3⋊S3.2(C4⋊C4) = C4⋊F9φ: C4⋊C4/C4 → C4 ⊆ Out C3⋊S3368C3:S3.2(C4:C4)288,864
C3⋊S3.3(C4⋊C4) = C62.D4φ: C4⋊C4/C22 → C22 ⊆ Out C3⋊S348C3:S3.3(C4:C4)288,385
C3⋊S3.4(C4⋊C4) = (C6×C12)⋊2C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out C3⋊S348C3:S3.4(C4:C4)288,429

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