Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃³⋊C₂

Direct product G=N×Q with N=D₄ and Q=C₃³⋊C₂

		d	ρ	Label	ID
D₄×C₃³⋊C₂		108		D4xC3^3:C2	432,724

Semidirect products G=N:Q with N=D₄ and Q=C₃³⋊C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃³⋊C₂) = C₃³⋊₁₅D₈	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Out D₄	216		D4:(C3^3:C2)	432,507
D₄⋊₂(C₃³⋊C₂) = C₆².₁₀₀D₆	φ: trivial image	216		D4:2(C3^3:C2)	432,725

Non-split extensions G=N.Q with N=D₄ and Q=C₃³⋊C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃³⋊C₂) = C₃³⋊₂₄SD₁₆	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Out D₄	216		D4.(C3^3:C2)	432,508

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Extensions 1→N→G→Q→1 with N=D4 and Q=C33⋊C2