Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₉

Direct product G=N×Q with N=C₄ and Q=Q₈×C₉

		d	ρ	Label	ID
Q₈×C₃₆		288		Q8xC36	288,169

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(Q₈×C₉) = C₉×C₄⋊Q₈	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₄	288		C4:(Q8xC9)	288,178

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₉

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈×C₉) = C₉×C₄.Q₈	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₄	288	C4.1(Q8xC9)	288,56
C₄.₂(Q₈×C₉) = C₉×C₂.D₈	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₄	288	C4.2(Q8xC9)	288,57
C₄.₃(Q₈×C₉) = C₉×C₄².C₂	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₄	288	C4.3(Q8xC9)	288,175
C₄.₄(Q₈×C₉) = C₉×C₄⋊C₈	central extension (φ=1)	288	C4.4(Q8xC9)	288,55

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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C9