Extensions 1→N→G→Q→1 with N=C₈ and Q=C₉⋊C₆

Direct product G=N×Q with N=C₈ and Q=C₉⋊C₆

		d	ρ	Label	ID
C₈×C₉⋊C₆		72	6	C8xC9:C6	432,120

Semidirect products G=N:Q with N=C₈ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₉⋊C₆) = D₇₂⋊C₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6+	C8:1(C9:C6)	432,123
C₈⋊₂(C₉⋊C₆) = C₇₂⋊₂C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:2(C9:C6)	432,122
C₈⋊₃(C₉⋊C₆) = C₇₂⋊C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₈	72	6	C8:3(C9:C6)	432,121

Non-split extensions G=N.Q with N=C₈ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₉⋊C₆) = C₇₂.C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₈	144	6-	C8.(C9:C6)	432,119
C₈.₂(C₉⋊C₆) = C₉⋊C₄₈	central extension (φ=1)	144	6	C8.2(C9:C6)	432,31

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Extensions 1→N→G→Q→1 with N=C8 and Q=C9⋊C6