Extensions 1→N→G→Q→1 with N=C₂₄₀ and Q=C₂

Direct product G=N×Q with N=C₂₄₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₄₀		480		C2xC240	480,212

Semidirect products G=N:Q with N=C₂₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₀⋊₁C₂ = D₂₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2+	C240:1C2	480,159
C₂₄₀⋊₂C₂ = C₄₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:2C2	480,160
C₂₄₀⋊₃C₂ = C₃×D₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:3C2	480,77
C₂₄₀⋊₄C₂ = C₅×D₄₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:4C2	480,118
C₂₄₀⋊₅C₂ = C₃×C₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:5C2	480,78
C₂₄₀⋊₆C₂ = C₁₆×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:6C2	480,157
C₂₄₀⋊₇C₂ = C₈₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:7C2	480,158
C₂₄₀⋊₈C₂ = C₅×C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:8C2	480,119
C₂₄₀⋊₉C₂ = C₁₅×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:9C2	480,214
C₂₄₀⋊₁₀C₂ = D₅×C₄₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:10C2	480,75
C₂₄₀⋊₁₁C₂ = C₃×C₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:11C2	480,76
C₂₄₀⋊₁₂C₂ = C₁₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:12C2	480,215
C₂₄₀⋊₁₃C₂ = S₃×C₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:13C2	480,116
C₂₄₀⋊₁₄C₂ = C₅×D₆.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:14C2	480,117
C₂₄₀⋊₁₅C₂ = C₁₅×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:15C2	480,213

Non-split extensions G=N.Q with N=C₂₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₀.₁C₂ = Dic₁₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2-	C240.1C2	480,161
C₂₄₀.₂C₂ = C₃×Dic₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.2C2	480,79
C₂₄₀.₃C₂ = C₅×Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.3C2	480,120
C₂₄₀.₄C₂ = C₁₅⋊₃C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.4C2	480,3
C₂₄₀.₅C₂ = C₁₅×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.5C2	480,216
C₂₄₀.₆C₂ = C₃×C₅⋊₂C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.6C2	480,2
C₂₄₀.₇C₂ = C₅×C₃⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.7C2	480,1

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