Extensions 1→N→G→Q→1 with N=C₁₃₂ and Q=C₂

Direct product G=N×Q with N=C₁₃₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₃₂		264		C2xC132	264,28

Semidirect products G=N:Q with N=C₁₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₂⋊₁C₂ = D₁₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2+	C132:1C2	264,25
C₁₃₂⋊₂C₂ = C₄×D₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:2C2	264,24
C₁₃₂⋊₃C₂ = C₃×D₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:3C2	264,15
C₁₃₂⋊₄C₂ = C₁₂×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:4C2	264,14
C₁₃₂⋊₅C₂ = C₁₁×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:5C2	264,20
C₁₃₂⋊₆C₂ = S₃×C₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:6C2	264,19
C₁₃₂⋊₇C₂ = D₄×C₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	132	2	C132:7C2	264,29

Non-split extensions G=N.Q with N=C₁₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₂.₁C₂ = Dic₆₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2-	C132.1C2	264,23
C₁₃₂.₂C₂ = C₃₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.2C2	264,3
C₁₃₂.₃C₂ = C₃×Dic₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.3C2	264,13
C₁₃₂.₄C₂ = C₃×C₁₁⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.4C2	264,2
C₁₃₂.₅C₂ = C₁₁×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.5C2	264,18
C₁₃₂.₆C₂ = C₁₁×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.6C2	264,1
C₁₃₂.₇C₂ = Q₈×C₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₂	264	2	C132.7C2	264,30

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