Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃⋊D₁₂

Direct product G=N×Q with N=C₃ and Q=C₂×C₃⋊D₁₂

		d	ρ	Label	ID
C₆×C₃⋊D₁₂		48		C6xC3:D12	432,656

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃⋊D₁₂) = S₃×C₃⋊D₁₂	φ: C₂×C₃⋊D₁₂/C₃⋊D₁₂ → C₂ ⊆ Aut C₃	24	8+	C3:1(C2xC3:D12)	432,598
C₃⋊₂(C₂×C₃⋊D₁₂) = C₂×C₃³⋊₈D₄	φ: C₂×C₃⋊D₁₂/C₆×Dic₃ → C₂ ⊆ Aut C₃	72		C3:2(C2xC3:D12)	432,682
C₃⋊₃(C₂×C₃⋊D₁₂) = C₂×C₃³⋊₇D₄	φ: C₂×C₃⋊D₁₂/S₃×C₂×C₆ → C₂ ⊆ Aut C₃	72		C3:3(C2xC3:D12)	432,681
C₃⋊₄(C₂×C₃⋊D₁₂) = C₂×C₃³⋊₉D₄	φ: C₂×C₃⋊D₁₂/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	48		C3:4(C2xC3:D12)	432,694

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×C₃⋊D₁₂) = C₂×C₃⋊D₃₆	φ: C₂×C₃⋊D₁₂/C₆×Dic₃ → C₂ ⊆ Aut C₃	72		C3.1(C2xC3:D12)	432,307
C₃.₂(C₂×C₃⋊D₁₂) = C₂×C₉⋊D₁₂	φ: C₂×C₃⋊D₁₂/S₃×C₂×C₆ → C₂ ⊆ Aut C₃	72		C3.2(C2xC3:D12)	432,312
C₃.₃(C₂×C₃⋊D₁₂) = C₂×He₃⋊₃D₄	φ: C₂×C₃⋊D₁₂/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	72		C3.3(C2xC3:D12)	432,322

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