Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈×C₉

Direct product G=N×Q with N=C₆ and Q=Q₈×C₉

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=C₆ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(Q₈×C₉) = C₁₈×Dic₆	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₆	144		C6:(Q8xC9)	432,341

Non-split extensions G=N.Q with N=C₆ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(Q₈×C₉) = C₉×Dic₃⋊C₄	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₆	144		C6.1(Q8xC9)	432,132
C₆.₂(Q₈×C₉) = C₉×C₄⋊Dic₃	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₆	144		C6.2(Q8xC9)	432,133
C₆.₃(Q₈×C₉) = C₄⋊C₄×C₂₇	central extension (φ=1)	432		C6.3(Q8xC9)	432,22
C₆.₄(Q₈×C₉) = Q₈×C₅₄	central extension (φ=1)	432		C6.4(Q8xC9)	432,55
C₆.₅(Q₈×C₉) = C₄⋊C₄×C₃×C₉	central extension (φ=1)	432		C6.5(Q8xC9)	432,206

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