Extensions 1→N→G→Q→1 with N=C₂₃₂ and Q=C₂

Direct product G=N×Q with N=C₂₃₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₃₂		464		C2xC232	464,23

Semidirect products G=N:Q with N=C₂₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₃₂⋊₁C₂ = D₂₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2+	C232:1C2	464,7
C₂₃₂⋊₂C₂ = C₂₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:2C2	464,6
C₂₃₂⋊₃C₂ = C₈×D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:3C2	464,4
C₂₃₂⋊₄C₂ = C₈⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:4C2	464,5
C₂₃₂⋊₅C₂ = D₈×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:5C2	464,25
C₂₃₂⋊₆C₂ = SD₁₆×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:6C2	464,26
C₂₃₂⋊₇C₂ = M₄(2)×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	232	2	C232:7C2	464,24

Non-split extensions G=N.Q with N=C₂₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₃₂.₁C₂ = Dic₁₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	464	2-	C232.1C2	464,8
C₂₃₂.₂C₂ = C₂₉⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	464	2	C232.2C2	464,1
C₂₃₂.₃C₂ = Q₁₆×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₂	464	2	C232.3C2	464,27

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