Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₂²⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₂²⋊C₄

		d	ρ	Label	ID
C₁₀×C₂²⋊C₄		80		C10xC2^2:C4	160,176

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₂²⋊C₄) = C₂×C₂²⋊F₅	φ: C₂×C₂²⋊C₄/C₂³ → C₄ ⊆ Aut C₅	40		C5:(C2xC2^2:C4)	160,212
C₅⋊₂(C₂×C₂²⋊C₄) = D₅×C₂²⋊C₄	φ: C₂×C₂²⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₅	40		C5:2(C2xC2^2:C4)	160,101
C₅⋊₃(C₂×C₂²⋊C₄) = C₂×D₁₀⋊C₄	φ: C₂×C₂²⋊C₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:3(C2xC2^2:C4)	160,148
C₅⋊₄(C₂×C₂²⋊C₄) = C₂×C₂³.D₅	φ: C₂×C₂²⋊C₄/C₂⁴ → C₂ ⊆ Aut C₅	80		C5:4(C2xC2^2:C4)	160,173

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