Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉⋊C₆

Direct product G=N×Q with N=C₄ and Q=C₉⋊C₆

		d	ρ	Label	ID
C₄×C₉⋊C₆		36	6	C4xC9:C6	216,53

Semidirect products G=N:Q with N=C₄ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉⋊C₆) = D₃₆⋊C₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₄	36	6+	C4:(C9:C6)	216,54

Non-split extensions G=N.Q with N=C₄ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉⋊C₆) = C₃₆.C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₄	72	6-	C4.(C9:C6)	216,52
C₄.₂(C₉⋊C₆) = C₉⋊C₂₄	central extension (φ=1)	72	6	C4.2(C9:C6)	216,15

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9⋊C6