Extensions 1→N→G→Q→1 with N=C₂₃⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂₃⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₃⋊C₈		368		C2xC23:C8	368,8

Semidirect products G=N:Q with N=C₂₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₃⋊C₈⋊₁C₂ = D₄⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	184	4+	C23:C8:1C2	368,14
C₂₃⋊C₈⋊₂C₂ = D₄.D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	184	4-	C23:C8:2C2	368,15
C₂₃⋊C₈⋊₃C₂ = Q₈⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	184	4+	C23:C8:3C2	368,16
C₂₃⋊C₈⋊₄C₂ = C₈⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	184	2	C23:C8:4C2	368,4
C₂₃⋊C₈⋊₅C₂ = C₉₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	184	2	C23:C8:5C2	368,9
C₂₃⋊C₈⋊₆C₂ = C₈×D₂₃	φ: trivial image	184	2	C23:C8:6C2	368,3

Non-split extensions G=N.Q with N=C₂₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₃⋊C₈.C₂ = C₂₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₃⋊C₈	368	4-	C23:C8.C2	368,17

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