Extensions 1→N→G→Q→1 with N=D₆₀⋊₁₁C₂ and Q=C₂

Direct product G=N×Q with N=D₆₀⋊₁₁C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₆₀⋊₁₁C₂		240		C2xD60:11C2	480,1168

Semidirect products G=N:Q with N=D₆₀⋊₁₁C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₀⋊₁₁C₂⋊₁C₂ = C₄₀.₆₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	2	D60:11C2:1C2	480,869
D₆₀⋊₁₁C₂⋊₂C₂ = D₆₀⋊₃₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:2C2	480,380
D₆₀⋊₁₁C₂⋊₃C₂ = D₂₀.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:3C2	480,1076
D₆₀⋊₁₁C₂⋊₄C₂ = D₂₀⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:4C2	480,1094
D₆₀⋊₁₁C₂⋊₅C₂ = D₆₀⋊₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:5C2	480,388
D₆₀⋊₁₁C₂⋊₆C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:6C2	480,1080
D₆₀⋊₁₁C₂⋊₇C₂ = D₂₀⋊₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:7C2	480,1093
D₆₀⋊₁₁C₂⋊₈C₂ = D₂₀.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:8C2	480,387
D₆₀⋊₁₁C₂⋊₉C₂ = S₃×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:9C2	480,1091
D₆₀⋊₁₁C₂⋊₁₀C₂ = C₂₀.₆₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:10C2	480,379
D₆₀⋊₁₁C₂⋊₁₁C₂ = D₅×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:11C2	480,1090
D₆₀⋊₁₁C₂⋊₁₂C₂ = C₈⋊D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4+	D60:11C2:12C2	480,873
D₆₀⋊₁₁C₂⋊₁₃C₂ = D₄.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:13C2	480,897
D₆₀⋊₁₁C₂⋊₁₄C₂ = D₄.₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:14C2	480,915
D₆₀⋊₁₁C₂⋊₁₅C₂ = D₄⋊₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:15C2	480,1171
D₆₀⋊₁₁C₂⋊₁₆C₂ = Q₈.₁₅D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2:16C2	480,1174
D₆₀⋊₁₁C₂⋊₁₇C₂ = C₄○D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2:17C2	480,1175
D₆₀⋊₁₁C₂⋊₁₈C₂ = D₄⋊₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4+	D60:11C2:18C2	480,1176
D₆₀⋊₁₁C₂⋊₁₉C₂ = D₄.₁₀D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4-	D60:11C2:19C2	480,1177

Non-split extensions G=N.Q with N=D₆₀⋊₁₁C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₀⋊₁₁C₂.₁C₂ = D₆₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	2	D60:11C2.1C2	480,165
D₆₀⋊₁₁C₂.₂C₂ = C₂₀.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.2C2	480,397
D₆₀⋊₁₁C₂.₃C₂ = C₁₂.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.3C2	480,391
D₆₀⋊₁₁C₂.₄C₂ = D₆₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2.4C2	480,56
D₆₀⋊₁₁C₂.₅C₂ = D₆₀.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.5C2	480,367
D₆₀⋊₁₁C₂.₆C₂ = D₆₀⋊₁₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2.6C2	480,57
D₆₀⋊₁₁C₂.₇C₂ = D₆₀.₅C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.7C2	480,366
D₆₀⋊₁₁C₂.₈C₂ = D₆₀⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	120	4	D60:11C2.8C2	480,185
D₆₀⋊₁₁C₂.₉C₂ = D₆₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.9C2	480,872
D₆₀⋊₁₁C₂.₁₀C₂ = C₈.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4-	D60:11C2.10C2	480,874
D₆₀⋊₁₁C₂.₁₁C₂ = Q₈.₁₁D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀⋊₁₁C₂	240	4	D60:11C2.11C2	480,907
D₆₀⋊₁₁C₂.₁₂C₂ = D₆₀.₆C₄	φ: trivial image	240	2	D60:11C2.12C2	480,866

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