Extensions 1→N→G→Q→1 with N=C₈ and Q=C₆×D₅

Direct product G=N×Q with N=C₈ and Q=C₆×D₅

		d	ρ	Label	ID
D₅×C₂×C₂₄		240		D5xC2xC24	480,692

Semidirect products G=N:Q with N=C₈ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₆×D₅) = C₃×C₈⋊D₁₀	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	120	4	C8:1(C6xD5)	480,701
C₈⋊₂(C₆×D₅) = C₃×D₈⋊D₅	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	120	4	C8:2(C6xD5)	480,704
C₈⋊₃(C₆×D₅) = C₃×D₄₀⋊C₂	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	120	4	C8:3(C6xD5)	480,707
C₈⋊₄(C₆×D₅) = C₃×D₅×D₈	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:4(C6xD5)	480,703
C₈⋊₅(C₆×D₅) = C₃×D₅×SD₁₆	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:5(C6xD5)	480,706
C₈⋊₆(C₆×D₅) = C₃×D₅×M₄(2)	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:6(C6xD5)	480,699
C₈⋊₇(C₆×D₅) = C₆×D₄₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240		C8:7(C6xD5)	480,696
C₈⋊₈(C₆×D₅) = C₆×C₄₀⋊C₂	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240		C8:8(C6xD5)	480,695
C₈⋊₉(C₆×D₅) = C₆×C₈⋊D₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240		C8:9(C6xD5)	480,693

Non-split extensions G=N.Q with N=C₈ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₆×D₅) = C₃×C₈.D₁₀	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	240	4	C8.1(C6xD5)	480,702
C₈.₂(C₆×D₅) = C₃×SD₁₆⋊D₅	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	240	4	C8.2(C6xD5)	480,708
C₈.₃(C₆×D₅) = C₃×Q₁₆⋊D₅	φ: C₆×D₅/C₁₅ → C₂² ⊆ Aut C₈	240	4	C8.3(C6xD5)	480,711
C₈.₄(C₆×D₅) = C₃×C₅⋊D₁₆	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.4(C6xD5)	480,104
C₈.₅(C₆×D₅) = C₃×D₈.D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.5(C6xD5)	480,105
C₈.₆(C₆×D₅) = C₃×C₅⋊SD₃₂	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.6(C6xD5)	480,106
C₈.₇(C₆×D₅) = C₃×C₅⋊Q₃₂	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	480	4	C8.7(C6xD5)	480,107
C₈.₈(C₆×D₅) = C₃×D₈⋊₃D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.8(C6xD5)	480,705
C₈.₉(C₆×D₅) = C₃×D₅×Q₁₆	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.9(C6xD5)	480,710
C₈.₁₀(C₆×D₅) = C₃×Q₈.D₁₀	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.10(C6xD5)	480,712
C₈.₁₁(C₆×D₅) = C₃×SD₁₆⋊₃D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.11(C6xD5)	480,709
C₈.₁₂(C₆×D₅) = C₃×D₂₀.₂C₄	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.12(C6xD5)	480,700
C₈.₁₃(C₆×D₅) = C₃×D₈₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.13(C6xD5)	480,77
C₈.₁₄(C₆×D₅) = C₃×C₁₆⋊D₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.14(C6xD5)	480,78
C₈.₁₅(C₆×D₅) = C₃×Dic₄₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	480	2	C8.15(C6xD5)	480,79
C₈.₁₆(C₆×D₅) = C₆×Dic₂₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8.16(C6xD5)	480,698
C₈.₁₇(C₆×D₅) = C₃×D₄₀⋊₇C₂	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.17(C6xD5)	480,697
C₈.₁₈(C₆×D₅) = C₃×D₂₀.₃C₄	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.18(C6xD5)	480,694
C₈.₁₉(C₆×D₅) = D₅×C₄₈	central extension (φ=1)	240	2	C8.19(C6xD5)	480,75
C₈.₂₀(C₆×D₅) = C₃×C₈₀⋊C₂	central extension (φ=1)	240	2	C8.20(C6xD5)	480,76
C₈.₂₁(C₆×D₅) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C8.21(C6xD5)	480,89
C₈.₂₂(C₆×D₅) = C₃×C₂₀.₄C₈	central extension (φ=1)	240	2	C8.22(C6xD5)	480,90

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Extensions 1→N→G→Q→1 with N=C8 and Q=C6×D5

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₆×D₅