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

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

		d	ρ	Label	ID
C₆×C₅⋊C₈		240		C6xC5:C8	240,115

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅⋊C₈) = C₂×C₁₅⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₆	240		C6:(C5:C8)	240,122

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅⋊C₈) = C₁₅⋊C₁₆	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₆	240	4	C6.(C5:C8)	240,6
C₆.₂(C₅⋊C₈) = C₃×C₅⋊C₁₆	central extension (φ=1)	240	4	C6.2(C5:C8)	240,5

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