Extensions 1→N→G→Q→1 with N=C₁₂₀ and Q=C₂

Direct product G=NxQ with N=C₁₂₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₁₂₀		240		C2xC120	240,84

Semidirect products G=N:Q with N=C₁₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₀:₁C₂ = D₁₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2+	C120:1C2	240,68
C₁₂₀:₂C₂ = C₂₄:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:2C2	240,67
C₁₂₀:₃C₂ = C₃xD₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:3C2	240,36
C₁₂₀:₄C₂ = C₈xD₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:4C2	240,65
C₁₂₀:₅C₂ = C₄₀:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:5C2	240,66
C₁₂₀:₆C₂ = C₅xD₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:6C2	240,52
C₁₂₀:₇C₂ = C₃xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:7C2	240,35
C₁₂₀:₈C₂ = C₅xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:8C2	240,51
C₁₂₀:₉C₂ = D₅xC₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:9C2	240,33
C₁₂₀:₁₀C₂ = C₃xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:10C2	240,34
C₁₂₀:₁₁C₂ = C₁₅xD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:11C2	240,86
C₁₂₀:₁₂C₂ = S₃xC₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:12C2	240,49
C₁₂₀:₁₃C₂ = C₅xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:13C2	240,50
C₁₂₀:₁₄C₂ = C₁₅xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:14C2	240,87
C₁₂₀:₁₅C₂ = C₁₅xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:15C2	240,85

Non-split extensions G=N.Q with N=C₁₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₀.₁C₂ = Dic₆₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2-	C120.1C2	240,69
C₁₂₀.₂C₂ = C₃xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.2C2	240,37
C₁₂₀.₃C₂ = C₁₅:₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.3C2	240,3
C₁₂₀.₄C₂ = C₅xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.4C2	240,53
C₁₂₀.₅C₂ = C₃xC₅:₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.5C2	240,2
C₁₂₀.₆C₂ = C₁₅xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.6C2	240,88
C₁₂₀.₇C₂ = C₅xC₃:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.7C2	240,1

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