Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃²⋊C₆

Direct product G=N×Q with N=D₄ and Q=C₃²⋊C₆

		d	ρ	Label	ID
D₄×C₃²⋊C₆		36	12+	D4xC3^2:C6	432,360

Semidirect products G=N:Q with N=D₄ and Q=C₃²⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃²⋊C₆) = He₃⋊₆D₈	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Out D₄	72	12+	D4:(C3^2:C6)	432,153
D₄⋊₂(C₃²⋊C₆) = C₆².₁₃D₆	φ: trivial image	72	12-	D4:2(C3^2:C6)	432,361

Non-split extensions G=N.Q with N=D₄ and Q=C₃²⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃²⋊C₆) = He₃⋊₈SD₁₆	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Out D₄	72	12-	D4.(C3^2:C6)	432,152

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Extensions 1→N→G→Q→1 with N=D4 and Q=C32⋊C6