Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₁₀

Direct product G=N×Q with N=C₁₀ and Q=Dic₁₀

		d	ρ	Label	ID
C₁₀×Dic₁₀		80		C10xDic10	400,181

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁Dic₁₀ = C₂×C₅²⋊₂Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₀	80		C10:1Dic10	400,178
C₁₀⋊₂Dic₁₀ = C₂×C₅²⋊₄Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10:2Dic10	400,191

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁Dic₁₀ = Dic₅⋊Dic₅	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₀	80		C10.1Dic10	400,74
C₁₀.₂Dic₁₀ = C₁₀.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₀	80		C10.2Dic10	400,75
C₁₀.₃Dic₁₀ = C₅₀.D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.3Dic10	400,12
C₁₀.₄Dic₁₀ = C₄⋊Dic₂₅	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.4Dic10	400,13
C₁₀.₅Dic₁₀ = C₂×Dic₅₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.5Dic10	400,35
C₁₀.₆Dic₁₀ = C₁₀².₂₂C₂²	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.6Dic10	400,100
C₁₀.₇Dic₁₀ = C₂₀⋊₃Dic₅	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.7Dic10	400,101
C₁₀.₈Dic₁₀ = C₅×C₁₀.D₄	central extension (φ=1)	80		C10.8Dic10	400,84
C₁₀.₉Dic₁₀ = C₅×C₄⋊Dic₅	central extension (φ=1)	80		C10.9Dic10	400,85

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