Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₀

Direct product G=N×Q with N=C₈ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₈		80		D5xC2xC8	160,120

Semidirect products G=N:Q with N=C₈ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₁₀ = C₈⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	40	4+	C8:1D10	160,129
C₈⋊₂D₁₀ = D₈⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	40	4	C8:2D10	160,132
C₈⋊₃D₁₀ = D₄₀⋊C₂	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	40	4+	C8:3D10	160,135
C₈⋊₄D₁₀ = D₅×D₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	40	4+	C8:4D10	160,131
C₈⋊₅D₁₀ = D₅×SD₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	40	4	C8:5D10	160,134
C₈⋊₆D₁₀ = D₅×M₄(2)	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	40	4	C8:6D10	160,127
C₈⋊₇D₁₀ = C₂×D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80		C8:7D10	160,124
C₈⋊₈D₁₀ = C₂×C₄₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80		C8:8D10	160,123
C₈⋊₉D₁₀ = C₂×C₈⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80		C8:9D10	160,121

Non-split extensions G=N.Q with N=C₈ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₁₀ = C₈.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	80	4-	C8.1D10	160,130
C₈.₂D₁₀ = SD₁₆⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	80	4-	C8.2D10	160,136
C₈.₃D₁₀ = Q₁₆⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₈	80	4	C8.3D10	160,139
C₈.₄D₁₀ = C₅⋊D₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4+	C8.4D10	160,33
C₈.₅D₁₀ = D₈.D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4-	C8.5D10	160,34
C₈.₆D₁₀ = C₅⋊SD₃₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4+	C8.6D10	160,35
C₈.₇D₁₀ = C₅⋊Q₃₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	160	4-	C8.7D10	160,36
C₈.₈D₁₀ = D₈⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4-	C8.8D10	160,133
C₈.₉D₁₀ = D₅×Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4-	C8.9D10	160,138
C₈.₁₀D₁₀ = Q₈.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4+	C8.10D10	160,140
C₈.₁₁D₁₀ = SD₁₆⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4	C8.11D10	160,137
C₈.₁₂D₁₀ = D₂₀.₂C₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₈	80	4	C8.12D10	160,128
C₈.₁₃D₁₀ = D₈₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80	2+	C8.13D10	160,6
C₈.₁₄D₁₀ = C₁₆⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.14D10	160,7
C₈.₁₅D₁₀ = Dic₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	160	2-	C8.15D10	160,8
C₈.₁₆D₁₀ = C₂×Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	160		C8.16D10	160,126
C₈.₁₇D₁₀ = D₄₀⋊₇C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.17D10	160,125
C₈.₁₈D₁₀ = D₂₀.₃C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.18D10	160,122
C₈.₁₉D₁₀ = D₅×C₁₆	central extension (φ=1)	80	2	C8.19D10	160,4
C₈.₂₀D₁₀ = C₈₀⋊C₂	central extension (φ=1)	80	2	C8.20D10	160,5
C₈.₂₁D₁₀ = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		C8.21D10	160,18
C₈.₂₂D₁₀ = C₂₀.₄C₈	central extension (φ=1)	80	2	C8.22D10	160,19

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Extensions 1→N→G→Q→1 with N=C8 and Q=D10

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₀