Extensions 1→N→G→Q→1 with N=C₂³.D₅ and Q=C₂

Direct product G=N×Q with N=C₂³.D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.D₅		80		C2xC2^3.D5	160,173

Semidirect products G=N:Q with N=C₂³.D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅⋊₁C₂ = C₂³.₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	40	4	C2^3.D5:1C2	160,13
C₂³.D₅⋊₂C₂ = C₂³⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	40	4	C2^3.D5:2C2	160,41
C₂³.D₅⋊₃C₂ = D₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	40		C2^3.D5:3C2	160,101
C₂³.D₅⋊₄C₂ = D₁₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:4C2	160,104
C₂³.D₅⋊₅C₂ = Dic₅.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:5C2	160,106
C₂³.D₅⋊₆C₂ = C₂³.₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:6C2	160,150
C₂³.D₅⋊₇C₂ = D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:7C2	160,155
C₂³.D₅⋊₈C₂ = C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:8C2	160,156
C₂³.D₅⋊₉C₂ = C₂₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:9C2	160,157
C₂³.D₅⋊₁₀C₂ = C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	40		C2^3.D5:10C2	160,158
C₂³.D₅⋊₁₁C₂ = C₂₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:11C2	160,159
C₂³.D₅⋊₁₂C₂ = Dic₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:12C2	160,160
C₂³.D₅⋊₁₃C₂ = C₂⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	40		C2^3.D5:13C2	160,174
C₂³.D₅⋊₁₄C₂ = C₄×C₅⋊D₄	φ: trivial image	80		C2^3.D5:14C2	160,149

Non-split extensions G=N.Q with N=C₂³.D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅.₁C₂ = C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.1C2	160,98
C₂³.D₅.₂C₂ = Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.2C2	160,99
C₂³.D₅.₃C₂ = C₂³.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.3C2	160,100
C₂³.D₅.₄C₂ = C₂₀.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.4C2	160,145
C₂³.D₅.₅C₂ = C₂³.₂₁D₁₀	φ: trivial image	80		C2^3.D5.5C2	160,147

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