Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₈

Direct product G=N×Q with N=C₁₀ and Q=D₈

		d	ρ	Label	ID
C₁₀×D₈		80		C10xD8	160,193

Semidirect products G=N:Q with N=C₁₀ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁D₈ = C₂×D₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	80		C10:1D8	160,124
C₁₀⋊₂D₈ = C₂×D₄⋊D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80		C10:2D8	160,152

Non-split extensions G=N.Q with N=C₁₀ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₈ = D₈₀	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	80	2+	C10.1D8	160,6
C₁₀.₂D₈ = C₁₆⋊D₅	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	80	2	C10.2D8	160,7
C₁₀.₃D₈ = Dic₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	160	2-	C10.3D8	160,8
C₁₀.₄D₈ = C₄₀⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	160		C10.4D8	160,25
C₁₀.₅D₈ = D₂₀⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₁₀	80		C10.5D8	160,28
C₁₀.₆D₈ = C₁₀.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	160		C10.6D8	160,14
C₁₀.₇D₈ = D₂₀⋊₆C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80		C10.7D8	160,16
C₁₀.₈D₈ = C₅⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80	4+	C10.8D8	160,33
C₁₀.₉D₈ = D₈.D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80	4-	C10.9D8	160,34
C₁₀.₁₀D₈ = C₅⋊SD₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80	4+	C10.10D8	160,35
C₁₀.₁₁D₈ = C₅⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	160	4-	C10.11D8	160,36
C₁₀.₁₂D₈ = D₄⋊Dic₅	φ: D₈/D₄ → C₂ ⊆ Aut C₁₀	80		C10.12D8	160,39
C₁₀.₁₃D₈ = C₅×D₄⋊C₄	central extension (φ=1)	80		C10.13D8	160,52
C₁₀.₁₄D₈ = C₅×C₂.D₈	central extension (φ=1)	160		C10.14D8	160,57
C₁₀.₁₅D₈ = C₅×D₁₆	central extension (φ=1)	80	2	C10.15D8	160,61
C₁₀.₁₆D₈ = C₅×SD₃₂	central extension (φ=1)	80	2	C10.16D8	160,62
C₁₀.₁₇D₈ = C₅×Q₃₂	central extension (φ=1)	160	2	C10.17D8	160,63

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