Extensions 1→N→G→Q→1 with N=C₉⋊C₁₆ and Q=C₂

Direct product G=N×Q with N=C₉⋊C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₉⋊C₁₆		288		C2xC9:C16	288,18

Semidirect products G=N:Q with N=C₉⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₁₆⋊₁C₂ = C₉⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	144	4+	C9:C16:1C2	288,33
C₉⋊C₁₆⋊₂C₂ = D₈.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	144	4-	C9:C16:2C2	288,34
C₉⋊C₁₆⋊₃C₂ = C₉⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	144	4+	C9:C16:3C2	288,35
C₉⋊C₁₆⋊₄C₂ = C₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	144	2	C9:C16:4C2	288,5
C₉⋊C₁₆⋊₅C₂ = C₃₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	144	2	C9:C16:5C2	288,19
C₉⋊C₁₆⋊₆C₂ = C₁₆×D₉	φ: trivial image	144	2	C9:C16:6C2	288,4

Non-split extensions G=N.Q with N=C₉⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₁₆.C₂ = C₉⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₁₆	288	4-	C9:C16.C2	288,36

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