Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₉

Direct product G=N×Q with N=C₈ and Q=Dic₉

		d	ρ	Label	ID
C₈×Dic₉		288		C8xDic9	288,21

Semidirect products G=N:Q with N=C₈ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₉ = C₇₂⋊₁C₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₈	288		C8:1Dic9	288,26
C₈⋊₂Dic₉ = C₈⋊Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₈	288		C8:2Dic9	288,25
C₈⋊₃Dic₉ = C₇₂⋊C₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₈	288		C8:3Dic9	288,23

Non-split extensions G=N.Q with N=C₈ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₉ = C₇₂.C₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.1Dic9	288,20
C₈.₂Dic₉ = C₃₆.C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.2Dic9	288,19
C₈.₃Dic₉ = C₉⋊C₃₂	central extension (φ=1)	288	2	C8.3Dic9	288,1
C₈.₄Dic₉ = C₂×C₉⋊C₁₆	central extension (φ=1)	288		C8.4Dic9	288,18

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