Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=C₁₂

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×C₅⋊₂C₈		480		C12xC5:2C8	480,80

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁C₁₂ = C₃×C₁₀.D₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	480		C5:2C8:1C12	480,85
C₅⋊₂C₈⋊₂C₁₂ = C₃×C₂₀.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	480		C5:2C8:2C12	480,86
C₅⋊₂C₈⋊₃C₁₂ = C₃×C₄².D₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	480		C5:2C8:3C12	480,81
C₅⋊₂C₈⋊₄C₁₂ = C₃×C₄₀⋊₈C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	480		C5:2C8:4C12	480,93
C₅⋊₂C₈⋊₅C₁₂ = C₃×C₄₀⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:5C12	480,273
C₅⋊₂C₈⋊₆C₁₂ = C₃×D₅.D₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:6C12	480,274
C₅⋊₂C₈⋊₇C₁₂ = F₅×C₂₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:7C12	480,271
C₅⋊₂C₈⋊₈C₁₂ = C₃×C₈⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:8C12	480,272
C₅⋊₂C₈⋊₉C₁₂ = Dic₅×C₂₄	φ: trivial image	480		C5:2C8:9C12	480,91

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁C₁₂ = C₃×C₂₀.₅₃D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.1C12	480,100
C₅⋊₂C₈.₂C₁₂ = C₃×C₈₀⋊C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	240	2	C5:2C8.2C12	480,76
C₅⋊₂C₈.₃C₁₂ = C₃×C₄₀.C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.3C12	480,275
C₅⋊₂C₈.₄C₁₂ = C₃×D₁₀.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.4C12	480,276
C₅⋊₂C₈.₅C₁₂ = C₆×C₅⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	480		C5:2C8.5C12	480,277
C₅⋊₂C₈.₆C₁₂ = C₃×C₂₀.C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.6C12	480,278
C₅⋊₂C₈.₇C₁₂ = D₅×C₄₈	φ: trivial image	240	2	C5:2C8.7C12	480,75

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