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

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

		d	ρ	Label	ID
C₃×C₃⋊D₁₂		24	4	C3xC3:D12	216,122

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃⋊D₁₂) = C₃³⋊₈D₄	φ: C₃⋊D₁₂/C₃×Dic₃ → C₂ ⊆ Aut C₃	36		C3:1(C3:D12)	216,129
C₃⋊₂(C₃⋊D₁₂) = C₃³⋊₇D₄	φ: C₃⋊D₁₂/S₃×C₆ → C₂ ⊆ Aut C₃	36		C3:2(C3:D12)	216,128
C₃⋊₃(C₃⋊D₁₂) = C₃³⋊₉D₄	φ: C₃⋊D₁₂/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:3(C3:D12)	216,132

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃⋊D₁₂) = C₃⋊D₃₆	φ: C₃⋊D₁₂/C₃×Dic₃ → C₂ ⊆ Aut C₃	36	4+	C3.1(C3:D12)	216,29
C₃.₂(C₃⋊D₁₂) = C₉⋊D₁₂	φ: C₃⋊D₁₂/S₃×C₆ → C₂ ⊆ Aut C₃	36	4+	C3.2(C3:D12)	216,32
C₃.₃(C₃⋊D₁₂) = He₃⋊₃D₄	φ: C₃⋊D₁₂/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	6	C3.3(C3:D12)	216,37

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