Extensions 1→N→G→Q→1 with N=D₄ and Q=C₉⋊C₆

Direct product G=N×Q with N=D₄ and Q=C₉⋊C₆

		d	ρ	Label	ID
D₄×C₉⋊C₆		36	12+	D4xC9:C6	432,362

Semidirect products G=N:Q with N=D₄ and Q=C₉⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₉⋊C₆) = D₃₆⋊C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Out D₄	72	12+	D4:(C9:C6)	432,155
D₄⋊₂(C₉⋊C₆) = Dic₁₈⋊₂C₆	φ: trivial image	72	12-	D4:2(C9:C6)	432,363

Non-split extensions G=N.Q with N=D₄ and Q=C₉⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₉⋊C₆) = Dic₁₈⋊C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Out D₄	72	12-	D4.(C9:C6)	432,154

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Extensions 1→N→G→Q→1 with N=D4 and Q=C9⋊C6