Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₃×S₃

Direct product G=N×Q with N=D₁₂ and Q=C₃×S₃

		d	ρ	Label	ID
C₃×S₃×D₁₂		48	4	C3xS3xD12	432,649

Semidirect products G=N:Q with N=D₁₂ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁(C₃×S₃) = C₃×C₃⋊D₂₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12:1(C3xS3)	432,419
D₁₂⋊₂(C₃×S₃) = C₃×C₃²⋊₂D₈	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12:2(C3xS3)	432,418
D₁₂⋊₃(C₃×S₃) = C₃×D₁₂⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12:3(C3xS3)	432,644
D₁₂⋊₄(C₃×S₃) = C₃×D₆⋊D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12:4(C3xS3)	432,650
D₁₂⋊₅(C₃×S₃) = C₃×D₁₂⋊₅S₃	φ: trivial image	48	4	D12:5(C3xS3)	432,643

Non-split extensions G=N.Q with N=D₁₂ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁(C₃×S₃) = C₃×D₁₂.S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12.1(C3xS3)	432,421
D₁₂.₂(C₃×S₃) = C₃×Dic₆⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₁₂	48	4	D12.2(C3xS3)	432,420

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