Extensions 1→N→G→Q→1 with N=C₃² and Q=D₁₂

Direct product G=N×Q with N=C₃² and Q=D₁₂

		d	ρ	Label	ID
C₃²×D₁₂		72		C3^2xD12	216,137

Semidirect products G=N:Q with N=C₃² and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊D₁₂ = He₃⋊₃D₄	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃²	36	6	C3^2:D12	216,37
C₃²⋊₂D₁₂ = C₃²⋊₂D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃²	12	8+	C3^2:2D12	216,159
C₃²⋊₃D₁₂ = He₃⋊₄D₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃²	36	6+	C3^2:3D12	216,51
C₃²⋊₄D₁₂ = He₃⋊₅D₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃²	36	6	C3^2:4D12	216,68
C₃²⋊₅D₁₂ = C₃³⋊₈D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃²	36		C3^2:5D12	216,129
C₃²⋊₆D₁₂ = C₃³⋊₉D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:6D12	216,132
C₃²⋊₇D₁₂ = C₃×C₁₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:7D12	216,142
C₃²⋊₈D₁₂ = C₃³⋊₁₂D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃²	108		C3^2:8D12	216,147
C₃²⋊₉D₁₂ = C₃×C₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃²	24	4	C3^2:9D12	216,122
C₃²⋊₁₀D₁₂ = C₃³⋊₇D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃²	36		C3^2:10D12	216,128

Non-split extensions G=N.Q with N=C₃² and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₁₂ = D₃₆⋊C₃	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃²	36	6+	C3^2.D12	216,54
C₃².₂D₁₂ = C₃⋊D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃²	36	4+	C3^2.2D12	216,29
C₃².₃D₁₂ = C₃×D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.3D12	216,46
C₃².₄D₁₂ = C₃₆⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃²	108		C3^2.4D12	216,65

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