Extensions 1→N→G→Q→1 with N=C₉⋊C₈ and Q=C₄

Direct product G=N×Q with N=C₉⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₉⋊C₈		288		C4xC9:C8	288,9

Semidirect products G=N:Q with N=C₉⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈⋊₁C₄ = C₃₆.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	288		C9:C8:1C4	288,14
C₉⋊C₈⋊₂C₄ = C₄.Dic₁₈	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	288		C9:C8:2C4	288,15
C₉⋊C₈⋊₃C₄ = C₄².D₉	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	288		C9:C8:3C4	288,10
C₉⋊C₈⋊₄C₄ = C₇₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	288		C9:C8:4C4	288,23
C₉⋊C₈⋊₅C₄ = C₈×Dic₉	φ: trivial image	288		C9:C8:5C4	288,21

Non-split extensions G=N.Q with N=C₉⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈.₁C₄ = C₃₆.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	144	4	C9:C8.1C4	288,29
C₉⋊C₈.₂C₄ = C₁₆⋊D₉	φ: C₄/C₂ → C₂ ⊆ Out C₉⋊C₈	144	2	C9:C8.2C4	288,5
C₉⋊C₈.₃C₄ = C₁₆×D₉	φ: trivial image	144	2	C9:C8.3C4	288,4

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