Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅xD₈

Direct product G=NxQ with N=C₆ and Q=C₅xD₈

		d	ρ	Label	ID
D₈xC₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=C₆ and Q=C₅xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₅xD₈) = C₁₀xD₂₄	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	240		C6:1(C5xD8)	480,782
C₆:₂(C₅xD₈) = C₁₀xD₄:S₃	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6:2(C5xD8)	480,810

Non-split extensions G=N.Q with N=C₆ and Q=C₅xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅xD₈) = C₅xD₄₈	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	240	2	C6.1(C5xD8)	480,118
C₆.₂(C₅xD₈) = C₅xC₄₈:C₂	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	240	2	C6.2(C5xD8)	480,119
C₆.₃(C₅xD₈) = C₅xDic₂₄	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	480	2	C6.3(C5xD8)	480,120
C₆.₄(C₅xD₈) = C₅xC₂₄:₁C₄	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	480		C6.4(C5xD8)	480,137
C₆.₅(C₅xD₈) = C₅xC₂.D₂₄	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₆	240		C6.5(C5xD8)	480,140
C₆.₆(C₅xD₈) = C₅xC₆.Q₁₆	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	480		C6.6(C5xD8)	480,126
C₆.₇(C₅xD₈) = C₅xC₆.D₈	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.7(C5xD8)	480,128
C₆.₈(C₅xD₈) = C₅xC₃:D₁₆	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.8(C5xD8)	480,145
C₆.₉(C₅xD₈) = C₅xD₈.S₃	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.9(C5xD8)	480,146
C₆.₁₀(C₅xD₈) = C₅xC₈.₆D₆	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.10(C5xD8)	480,147
C₆.₁₁(C₅xD₈) = C₅xC₃:Q₃₂	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	480	4	C6.11(C5xD8)	480,148
C₆.₁₂(C₅xD₈) = C₅xD₄:Dic₃	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.12(C5xD8)	480,151
C₆.₁₃(C₅xD₈) = C₁₅xD₄:C₄	central extension (φ=1)	240		C6.13(C5xD8)	480,205
C₆.₁₄(C₅xD₈) = C₁₅xC₂.D₈	central extension (φ=1)	480		C6.14(C5xD8)	480,210
C₆.₁₅(C₅xD₈) = C₁₅xD₁₆	central extension (φ=1)	240	2	C6.15(C5xD8)	480,214
C₆.₁₆(C₅xD₈) = C₁₅xSD₃₂	central extension (φ=1)	240	2	C6.16(C5xD8)	480,215
C₆.₁₇(C₅xD₈) = C₁₅xQ₃₂	central extension (φ=1)	480	2	C6.17(C5xD8)	480,216

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