Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈⋊D₅

Direct product G=N×Q with N=C₆ and Q=Q₈⋊D₅

		d	ρ	Label	ID
C₆×Q₈⋊D₅		240		C6xQ8:D5	480,734

Semidirect products G=N:Q with N=C₆ and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(Q₈⋊D₅) = C₂×Dic₆⋊D₅	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	240		C6:1(Q8:D5)	480,393
C₆⋊₂(Q₈⋊D₅) = C₂×C₃₀.D₄	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6:2(Q8:D5)	480,382
C₆⋊₃(Q₈⋊D₅) = C₂×Q₈⋊₂D₁₅	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240		C6:3(Q8:D5)	480,906

Non-split extensions G=N.Q with N=C₆ and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(Q₈⋊D₅) = D₆₀⋊₁₅C₄	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	240		C6.1(Q8:D5)	480,45
C₆.₂(Q₈⋊D₅) = C₁₀.Dic₁₂	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480		C6.2(Q8:D5)	480,49
C₆.₃(Q₈⋊D₅) = C₆₀.₇Q₈	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480		C6.3(Q8:D5)	480,61
C₆.₄(Q₈⋊D₅) = C₃₀.D₈	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.4(Q8:D5)	480,40
C₆.₅(Q₈⋊D₅) = Dic₆⋊Dic₅	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₆	480		C6.5(Q8:D5)	480,48
C₆.₆(Q₈⋊D₅) = C₃₀.SD₁₆	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₆	480		C6.6(Q8:D5)	480,62
C₆.₇(Q₈⋊D₅) = C₆₀.₂Q₈	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.7(Q8:D5)	480,168
C₆.₈(Q₈⋊D₅) = D₆₀⋊₉C₄	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240		C6.8(Q8:D5)	480,169
C₆.₉(Q₈⋊D₅) = Q₈⋊₂Dic₁₅	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.9(Q8:D5)	480,195
C₆.₁₀(Q₈⋊D₅) = C₃×C₂₀.Q₈	central extension (φ=1)	480		C6.10(Q8:D5)	480,86
C₆.₁₁(Q₈⋊D₅) = C₃×D₂₀⋊₆C₄	central extension (φ=1)	240		C6.11(Q8:D5)	480,87
C₆.₁₂(Q₈⋊D₅) = C₃×Q₈⋊Dic₅	central extension (φ=1)	480		C6.12(Q8:D5)	480,113

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