Extensions 1→N→G→Q→1 with N=D₁₂₀ and Q=C₂

Direct product G=N×Q with N=D₁₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂₀		240		C2xD120	480,868

Semidirect products G=N:Q with N=D₁₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂₀⋊₁C₂ = D₂₄₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	2+	D120:1C2	480,159
D₁₂₀⋊₂C₂ = C₈⋊D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:2C2	480,873
D₁₂₀⋊₃C₂ = C₃⋊D₈₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:3C2	480,14
D₁₂₀⋊₄C₂ = S₃×D₄₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:4C2	480,328
D₁₂₀⋊₅C₂ = D₁₂₀⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:5C2	480,351
D₁₂₀⋊₆C₂ = C₁₅⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:6C2	480,186
D₁₂₀⋊₇C₂ = D₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:7C2	480,875
D₁₂₀⋊₈C₂ = D₁₂₀⋊₈C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:8C2	480,884
D₁₂₀⋊₉C₂ = Q₈⋊₃D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:9C2	480,879
D₁₂₀⋊₁₀C₂ = C₅⋊D₄₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:10C2	480,15
D₁₂₀⋊₁₁C₂ = D₅×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:11C2	480,324
D₁₂₀⋊₁₂C₂ = D₁₂₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120:12C2	480,347
D₁₂₀⋊₁₃C₂ = C₄₀⋊₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:13C2	480,329
D₁₂₀⋊₁₄C₂ = C₂₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	120	4+	D120:14C2	480,325
D₁₂₀⋊₁₅C₂ = C₄₀.₆₉D₆	φ: trivial image	240	2	D120:15C2	480,869

Non-split extensions G=N.Q with N=D₁₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂₀.₁C₂ = C₄₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	2	D120.1C2	480,160
D₁₂₀.₂C₂ = C₂₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120.2C2	480,19
D₁₂₀.₃C₂ = C₈.₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120.3C2	480,188
D₁₂₀.₄C₂ = Dic₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₀	240	4+	D120.4C2	480,21

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