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

Direct product G=NxQ with N=C₆ and Q=Q₈:D₅

		d	ρ	Label	ID
C₆xQ₈: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) = C₂xDic₆:D₅	φ: Q₈:D₅/C₅:₂C₈ → C₂ ⊆ Aut C₆	240		C6:1(Q8:D5)	480,393
C₆:₂(Q₈:D₅) = C₂xC₃₀.D₄	φ: Q₈:D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6:2(Q8:D5)	480,382
C₆:₃(Q₈:D₅) = C₂xQ₈:₂D₁₅	φ: Q₈:D₅/C₅xQ₈ → 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/C₅xQ₈ → C₂ ⊆ Aut C₆	480		C6.7(Q8:D5)	480,168
C₆.₈(Q₈:D₅) = D₆₀:₉C₄	φ: Q₈:D₅/C₅xQ₈ → C₂ ⊆ Aut C₆	240		C6.8(Q8:D5)	480,169
C₆.₉(Q₈:D₅) = Q₈:₂Dic₁₅	φ: Q₈:D₅/C₅xQ₈ → C₂ ⊆ Aut C₆	480		C6.9(Q8:D5)	480,195
C₆.₁₀(Q₈:D₅) = C₃xC₂₀.Q₈	central extension (φ=1)	480		C6.10(Q8:D5)	480,86
C₆.₁₁(Q₈:D₅) = C₃xD₂₀:₆C₄	central extension (φ=1)	240		C6.11(Q8:D5)	480,87
C₆.₁₂(Q₈:D₅) = C₃xQ₈:Dic₅	central extension (φ=1)	480		C6.12(Q8:D5)	480,113

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