Extensions 1→N→G→Q→1 with N=C₉⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₉⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₉⋊C₈		144		C2xC9:C8	144,9

Semidirect products G=N:Q with N=C₉⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈⋊₁C₂ = D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	72	4-	C9:C8:1C2	144,15
C₉⋊C₈⋊₂C₂ = D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	72	4+	C9:C8:2C2	144,16
C₉⋊C₈⋊₃C₂ = Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	72	4+	C9:C8:3C2	144,18
C₉⋊C₈⋊₄C₂ = C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	72	2	C9:C8:4C2	144,6
C₉⋊C₈⋊₅C₂ = C₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	72	2	C9:C8:5C2	144,10
C₉⋊C₈⋊₆C₂ = C₈×D₉	φ: trivial image	72	2	C9:C8:6C2	144,5

Non-split extensions G=N.Q with N=C₉⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈.C₂ = C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₈	144	4-	C9:C8.C2	144,17

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