Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=D₅

Direct product G=N×Q with N=C₂²⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂²⋊C₄		40		D5xC2^2:C4	160,101

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁D₅ = C₂³.₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	40	4	C2^2:C4:1D5	160,13
C₂²⋊C₄⋊₂D₅ = C₂²⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	40		C2^2:C4:2D5	160,103
C₂²⋊C₄⋊₃D₅ = D₁₀.₁₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:3D5	160,104
C₂²⋊C₄⋊₄D₅ = D₁₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:4D5	160,105
C₂²⋊C₄⋊₅D₅ = Dic₅.₅D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:5D5	160,106
C₂²⋊C₄⋊₆D₅ = C₂².D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:6D5	160,107
C₂²⋊C₄⋊₇D₅ = Dic₅⋊₄D₄	φ: trivial image	80		C2^2:C4:7D5	160,102

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁D₅ = Dic₅.₁₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.1D5	160,99
C₂²⋊C₄.₂D₅ = C₂³.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.2D5	160,100
C₂²⋊C₄.₃D₅ = C₂³.₁₁D₁₀	φ: trivial image	80		C2^2:C4.3D5	160,98

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