Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₅⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₅⋊D₄

		d	ρ	Label	ID
C₁₀×C₅⋊D₄		40		C10xC5:D4	400,190

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₅⋊D₄) = C₂×C₅⋊D₂₀	φ: C₂×C₅⋊D₄/C₂×Dic₅ → C₂ ⊆ Aut C₅	40		C5:1(C2xC5:D4)	400,177
C₅⋊₂(C₂×C₅⋊D₄) = D₅×C₅⋊D₄	φ: C₂×C₅⋊D₄/C₅⋊D₄ → C₂ ⊆ Aut C₅	40	4	C5:2(C2xC5:D4)	400,179
C₅⋊₃(C₂×C₅⋊D₄) = C₂×C₅²⋊₂D₄	φ: C₂×C₅⋊D₄/C₂²×D₅ → C₂ ⊆ Aut C₅	80		C5:3(C2xC5:D4)	400,176
C₅⋊₄(C₂×C₅⋊D₄) = C₂×C₅²⋊₇D₄	φ: C₂×C₅⋊D₄/C₂²×C₁₀ → C₂ ⊆ Aut C₅	200		C5:4(C2xC5:D4)	400,200

Non-split extensions G=N.Q with N=C₅ and Q=C₂×C₅⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×C₅⋊D₄) = C₂×C₂₅⋊D₄	φ: C₂×C₅⋊D₄/C₂²×C₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2xC5:D4)	400,44

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