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

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

		d	ρ	Label	ID
C₂×C₁₂₀		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 = C₃×D₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:3C2	240,36
C₁₂₀⋊₄C₂ = C₈×D₁₅	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 = C₅×D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:6C2	240,52
C₁₂₀⋊₇C₂ = C₃×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:7C2	240,35
C₁₂₀⋊₈C₂ = C₅×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:8C2	240,51
C₁₂₀⋊₉C₂ = D₅×C₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:9C2	240,33
C₁₂₀⋊₁₀C₂ = C₃×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:10C2	240,34
C₁₂₀⋊₁₁C₂ = C₁₅×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:11C2	240,86
C₁₂₀⋊₁₂C₂ = S₃×C₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:12C2	240,49
C₁₂₀⋊₁₃C₂ = C₅×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:13C2	240,50
C₁₂₀⋊₁₄C₂ = C₁₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	120	2	C120:14C2	240,87
C₁₂₀⋊₁₅C₂ = C₁₅×M₄(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 = C₃×Dic₂₀	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 = C₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.4C2	240,53
C₁₂₀.₅C₂ = C₃×C₅⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.5C2	240,2
C₁₂₀.₆C₂ = C₁₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.6C2	240,88
C₁₂₀.₇C₂ = C₅×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₀	240	2	C120.7C2	240,1

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