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

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

		d	ρ	Label	ID
C₂xC₂₄₀		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 = C₃xD₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:3C2	480,77
C₂₄₀:₄C₂ = C₅xD₄₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:4C2	480,118
C₂₄₀:₅C₂ = C₃xC₁₆:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:5C2	480,78
C₂₄₀:₆C₂ = C₁₆xD₁₅	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 = C₅xC₄₈:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:8C2	480,119
C₂₄₀:₉C₂ = C₁₅xD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:9C2	480,214
C₂₄₀:₁₀C₂ = D₅xC₄₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:10C2	480,75
C₂₄₀:₁₁C₂ = C₃xC₈₀:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:11C2	480,76
C₂₄₀:₁₂C₂ = C₁₅xSD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:12C2	480,215
C₂₄₀:₁₃C₂ = S₃xC₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:13C2	480,116
C₂₄₀:₁₄C₂ = C₅xD₆.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	240	2	C240:14C2	480,117
C₂₄₀:₁₅C₂ = C₁₅xM₅(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 = C₃xDic₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.2C2	480,79
C₂₄₀.₃C₂ = C₅xDic₂₄	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 = C₁₅xQ₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.5C2	480,216
C₂₄₀.₆C₂ = C₃xC₅:₂C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.6C2	480,2
C₂₄₀.₇C₂ = C₅xC₃:C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₀	480	2	C240.7C2	480,1

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