Extensions 1→N→G→Q→1 with N=C₆₀.₇C₄ and Q=C₂

Direct product G=N×Q with N=C₆₀.₇C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₀.₇C₄		240		C2xC60.7C4	480,886

Semidirect products G=N:Q with N=C₆₀.₇C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆₀.₇C₄⋊₁C₂ = D₆₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	2	C60.7C4:1C2	480,165
C₆₀.₇C₄⋊₂C₂ = C₂₀.₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:2C2	480,35
C₆₀.₇C₄⋊₃C₂ = D₂₀⋊₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:3C2	480,375
C₆₀.₇C₄⋊₄C₂ = D₂₀.₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:4C2	480,383
C₆₀.₇C₄⋊₅C₂ = C₆₀.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:5C2	480,34
C₆₀.₇C₄⋊₆C₂ = C₆₀.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:6C2	480,374
C₆₀.₇C₄⋊₇C₂ = D₁₂.₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:7C2	480,385
C₆₀.₇C₄⋊₈C₂ = C₆₀.₉₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:8C2	480,53
C₆₀.₇C₄⋊₉C₂ = D₂₀.₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:9C2	480,359
C₆₀.₇C₄⋊₁₀C₂ = S₃×C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:10C2	480,363
C₆₀.₇C₄⋊₁₁C₂ = C₆₀.₉₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:11C2	480,55
C₆₀.₇C₄⋊₁₂C₂ = D₅×C₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:12C2	480,358
C₆₀.₇C₄⋊₁₃C₂ = D₁₂.₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:13C2	480,362
C₆₀.₇C₄⋊₁₄C₂ = M₄(2)⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4+	C60.7C4:14C2	480,183
C₆₀.₇C₄⋊₁₅C₂ = C₆₀.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:15C2	480,193
C₆₀.₇C₄⋊₁₆C₂ = Q₈⋊₃Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:16C2	480,197
C₆₀.₇C₄⋊₁₇C₂ = M₄(2)×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:17C2	480,871
C₆₀.₇C₄⋊₁₈C₂ = D₄.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4	C60.7C4:18C2	480,897
C₆₀.₇C₄⋊₁₉C₂ = Q₈.₁₁D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:19C2	480,907
C₆₀.₇C₄⋊₂₀C₂ = D₄.Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4:20C2	480,913
C₆₀.₇C₄⋊₂₁C₂ = D₄⋊D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	120	4+	C60.7C4:21C2	480,914
C₆₀.₇C₄⋊₂₂C₂ = D₄.₉D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4-	C60.7C4:22C2	480,916
C₆₀.₇C₄⋊₂₃C₂ = D₆₀.₆C₄	φ: trivial image	240	2	C60.7C4:23C2	480,866

Non-split extensions G=N.Q with N=C₆₀.₇C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆₀.₇C₄.₁C₂ = C₄.₁₈D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	2	C60.7C4.1C2	480,179
C₆₀.₇C₄.₂C₂ = C₆₀.₅₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.2C2	480,38
C₆₀.₇C₄.₃C₂ = C₁₂.₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.3C2	480,37
C₆₀.₇C₄.₄C₂ = C₁₂.₅₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.4C2	480,69
C₆₀.₇C₄.₅C₂ = C₆₀.₁₀₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.5C2	480,67
C₆₀.₇C₄.₆C₂ = C₆₀.₂₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.6C2	480,182
C₆₀.₇C₄.₇C₂ = C₄.D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4-	C60.7C4.7C2	480,184
C₆₀.₇C₄.₈C₂ = C₆₀.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.₇C₄	240	4	C60.7C4.8C2	480,196

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Extensions 1→N→G→Q→1 with N=C60.7C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₆₀.₇C₄ and Q=C₂