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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅⋊₂C₈) = C₂×C₁₅⋊₃C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₆	240		C6:(C5:2C8)	240,70

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅⋊₂C₈) = C₁₅⋊₃C₁₆	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₆	240	2	C6.(C5:2C8)	240,3
C₆.₂(C₅⋊₂C₈) = C₃×C₅⋊₂C₁₆	central extension (φ=1)	240	2	C6.2(C5:2C8)	240,2

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