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

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

		d	ρ	Label	ID
C₃×D₁₂.S₃		48	4	C3xD12.S3	432,421

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₁₂.S₃) = C₃³⋊₁₆SD₁₆	φ: D₁₂.S₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	144		C3:1(D12.S3)	432,443
C₃⋊₂(D₁₂.S₃) = C₃³⋊₁₄SD₁₆	φ: D₁₂.S₃/C₃×D₁₂ → C₂ ⊆ Aut C₃	144		C3:2(D12.S3)	432,441
C₃⋊₃(D₁₂.S₃) = C₃³⋊₁₈SD₁₆	φ: D₁₂.S₃/C₃²⋊₄Q₈ → C₂ ⊆ Aut C₃	48	4	C3:3(D12.S3)	432,458

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₁₂.S₃) = D₃₆.S₃	φ: D₁₂.S₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	144	4-	C3.1(D12.S3)	432,62
C₃.₂(D₁₂.S₃) = C₃₆.D₆	φ: D₁₂.S₃/C₃×D₁₂ → C₂ ⊆ Aut C₃	144	4-	C3.2(D12.S3)	432,71
C₃.₃(D₁₂.S₃) = He₃⋊₅SD₁₆	φ: D₁₂.S₃/C₃²⋊₄Q₈ → C₂ ⊆ Aut C₃	72	12+	C3.3(D12.S3)	432,85

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