Extensions 1→N→G→Q→1 with N=C₃³⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊C₄		24	4	C2xC3^3:C4	216,169

Semidirect products G=N:Q with N=C₃³⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄⋊₁C₂ = S₃×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊C₄	12	8+	C3^3:C4:1C2	216,156
C₃³⋊C₄⋊₂C₂ = C₃³⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊C₄	12	4	C3^3:C4:2C2	216,158

Non-split extensions G=N.Q with N=C₃³⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₄.C₂ = C₃³⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊C₄	24	8	C3^3:C4.C2	216,161

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Extensions 1→N→G→Q→1 with N=C33⋊C4 and Q=C2