Extensions 1→N→G→Q→1 with N=C₉⋊C₂₄ and Q=C₂

Direct product G=N×Q with N=C₉⋊C₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₉⋊C₂₄		144		C2xC9:C24	432,142

Semidirect products G=N:Q with N=C₉⋊C₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₂₄⋊₁C₂ = Dic₁₈⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	72	12-	C9:C24:1C2	432,154
C₉⋊C₂₄⋊₂C₂ = D₃₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	72	12+	C9:C24:2C2	432,155
C₉⋊C₂₄⋊₃C₂ = D₃₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	72	12+	C9:C24:3C2	432,163
C₉⋊C₂₄⋊₄C₂ = C₇₂⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	72	6	C9:C24:4C2	432,121
C₉⋊C₂₄⋊₅C₂ = C₃₆.C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	72	6	C9:C24:5C2	432,143
C₉⋊C₂₄⋊₆C₂ = C₈×C₉⋊C₆	φ: trivial image	72	6	C9:C24:6C2	432,120

Non-split extensions G=N.Q with N=C₉⋊C₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₂₄.C₂ = Dic₁₈.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊C₂₄	144	12-	C9:C24.C2	432,162

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