Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₀

Direct product G=N×Q with N=C₁₀ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₁₀		40		D5xC2xC10	200,50

Semidirect products G=N:Q with N=C₁₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁D₁₀ = C₂×D₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	20	4+	C10:1D10	200,49
C₁₀⋊₂D₁₀ = C₂²×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100		C10:2D10	200,51

Non-split extensions G=N.Q with N=C₁₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₁₀ = D₅×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	40	4-	C10.1D10	200,22
C₁₀.₂D₁₀ = Dic₅⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	20	4+	C10.2D10	200,23
C₁₀.₃D₁₀ = C₅²⋊₂D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	40	4-	C10.3D10	200,24
C₁₀.₄D₁₀ = C₅⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	20	4+	C10.4D10	200,25
C₁₀.₅D₁₀ = C₅²⋊₂Q₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₀	40	4-	C10.5D10	200,26
C₁₀.₆D₁₀ = Dic₅₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	200	2-	C10.6D10	200,4
C₁₀.₇D₁₀ = C₄×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100	2	C10.7D10	200,5
C₁₀.₈D₁₀ = D₁₀₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100	2+	C10.8D10	200,6
C₁₀.₉D₁₀ = C₂×Dic₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	200		C10.9D10	200,7
C₁₀.₁₀D₁₀ = C₂₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100	2	C10.10D10	200,8
C₁₀.₁₁D₁₀ = C₂²×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100		C10.11D10	200,13
C₁₀.₁₂D₁₀ = C₅²⋊₄Q₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	200		C10.12D10	200,32
C₁₀.₁₃D₁₀ = C₄×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100		C10.13D10	200,33
C₁₀.₁₄D₁₀ = C₂₀⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100		C10.14D10	200,34
C₁₀.₁₅D₁₀ = C₂×C₅²⋊₆C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	200		C10.15D10	200,35
C₁₀.₁₆D₁₀ = C₅²⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	100		C10.16D10	200,36
C₁₀.₁₇D₁₀ = C₅×Dic₁₀	central extension (φ=1)	40	2	C10.17D10	200,27
C₁₀.₁₈D₁₀ = D₅×C₂₀	central extension (φ=1)	40	2	C10.18D10	200,28
C₁₀.₁₉D₁₀ = C₅×D₂₀	central extension (φ=1)	40	2	C10.19D10	200,29
C₁₀.₂₀D₁₀ = C₁₀×Dic₅	central extension (φ=1)	40		C10.20D10	200,30
C₁₀.₂₁D₁₀ = C₅×C₅⋊D₄	central extension (φ=1)	20	2	C10.21D10	200,31

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Extensions 1→N→G→Q→1 with N=C10 and Q=D10

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₀