Extensions 1→N→G→Q→1 with N=C₁₀ and Q=SD₁₆

Direct product G=N×Q with N=C₁₀ and Q=SD₁₆

		d	ρ	Label	ID
C₁₀×SD₁₆		80		C10xSD16	160,194

Semidirect products G=N:Q with N=C₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁SD₁₆ = C₂×C₄₀⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₀	80		C10:1SD16	160,123
C₁₀⋊₂SD₁₆ = C₂×D₄.D₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₀	80		C10:2SD16	160,154
C₁₀⋊₃SD₁₆ = C₂×Q₈⋊D₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₀	80		C10:3SD16	160,162

Non-split extensions G=N.Q with N=C₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁SD₁₆ = C₂₀.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₀	160		C10.1SD16	160,23
C₁₀.₂SD₁₆ = C₄₀⋊₆C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₀	160		C10.2SD16	160,24
C₁₀.₃SD₁₆ = D₂₀⋊₅C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₁₀	80		C10.3SD16	160,28
C₁₀.₄SD₁₆ = C₂₀.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₀	160		C10.4SD16	160,15
C₁₀.₅SD₁₆ = C₁₀.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₀	160		C10.5SD16	160,17
C₁₀.₆SD₁₆ = D₄⋊Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₁₀	80		C10.6SD16	160,39
C₁₀.₇SD₁₆ = D₂₀⋊₆C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₀	80		C10.7SD16	160,16
C₁₀.₈SD₁₆ = Q₈⋊Dic₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₁₀	160		C10.8SD16	160,42
C₁₀.₉SD₁₆ = C₅×D₄⋊C₄	central extension (φ=1)	80		C10.9SD16	160,52
C₁₀.₁₀SD₁₆ = C₅×Q₈⋊C₄	central extension (φ=1)	160		C10.10SD16	160,53
C₁₀.₁₁SD₁₆ = C₅×C₄.Q₈	central extension (φ=1)	160		C10.11SD16	160,56

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