Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=C₆

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₅⋊₂C₈		240		C6xC5:2C8	240,38

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁C₆ = C₃×D₄⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:1C6	240,44
C₅⋊₂C₈⋊₂C₆ = C₃×D₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:2C6	240,45
C₅⋊₂C₈⋊₃C₆ = C₃×Q₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:3C6	240,46
C₅⋊₂C₈⋊₄C₆ = C₃×C₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	2	C5:2C8:4C6	240,34
C₅⋊₂C₈⋊₅C₆ = C₃×C₄.Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	2	C5:2C8:5C6	240,39
C₅⋊₂C₈⋊₆C₆ = D₅×C₂₄	φ: trivial image	120	2	C5:2C8:6C6	240,33

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁C₆ = C₃×C₅⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.1C6	240,47
C₅⋊₂C₈.₂C₆ = C₃×C₅⋊C₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.2C6	240,5

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