Extensions 1→N→G→Q→1 with N=C₃²⋊C₁₂ and Q=C₂

Direct product G=N×Q with N=C₃²⋊C₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊C₁₂		72		C2xC3^2:C12	216,59

Semidirect products G=N:Q with N=C₃²⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂⋊₁C₂ = He₃⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	36	6	C3^2:C12:1C2	216,37
C₃²⋊C₁₂⋊₂C₂ = C₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	36	6	C3^2:C12:2C2	216,34
C₃²⋊C₁₂⋊₃C₂ = He₃⋊(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	36	6-	C3^2:C12:3C2	216,36
C₃²⋊C₁₂⋊₄C₂ = He₃⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	36	6	C3^2:C12:4C2	216,60
C₃²⋊C₁₂⋊₅C₂ = C₄×C₃²⋊C₆	φ: trivial image	36	6	C3^2:C12:5C2	216,50

Non-split extensions G=N.Q with N=C₃²⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂.₁C₂ = He₃⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	72	6-	C3^2:C12.1C2	216,33
C₃²⋊C₁₂.₂C₂ = He₃⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊C₁₂	72	6-	C3^2:C12.2C2	216,49

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