Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×Q₈

Direct product G=N×Q with N=C₆ and Q=C₅×Q₈

		d	ρ	Label	ID
Q₈×C₃₀		240		Q8xC30	240,187

Semidirect products G=N:Q with N=C₆ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×Q₈) = C₁₀×Dic₆	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₆	240		C6:(C5xQ8)	240,165

Non-split extensions G=N.Q with N=C₆ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(C₅×Q₈) = C₅×Dic₃⋊C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₆	240	C6.1(C5xQ8)	240,57
C₆.₂(C₅×Q₈) = C₅×C₄⋊Dic₃	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₆	240	C6.2(C5xQ8)	240,58
C₆.₃(C₅×Q₈) = C₁₅×C₄⋊C₄	central extension (φ=1)	240	C6.3(C5xQ8)	240,83

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5×Q8