Extensions 1→N→G→Q→1 with N=C₃² and Q=C₁₂

Direct product G=N×Q with N=C₃² and Q=C₁₂

		d	ρ	Label	ID
C₃²×C₁₂		108		C3^2xC12	108,35

Semidirect products G=N:Q with N=C₃² and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₁₂ = C₃²⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃²	36	6-	C3^2:C12	108,8
C₃²⋊₂C₁₂ = C₃×C₃²⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃²	12	4	C3^2:2C12	108,36
C₃²⋊₃C₁₂ = C₄×He₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃²	36	3	C3^2:3C12	108,13
C₃²⋊₄C₁₂ = C₃²×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃²	36		C3^2:4C12	108,32
C₃²⋊₅C₁₂ = C₃×C₃⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃²	36		C3^2:5C12	108,33

Non-split extensions G=N.Q with N=C₃² and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₁₂ = C₄×3_-¹⁺²	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃²	36	3	C3^2.C12	108,14
C₃².₂C₁₂ = C₉×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃²	36	2	C3^2.2C12	108,7

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