Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×Dic₅

Direct product G=N×Q with N=C₅ and Q=C₂²×Dic₅

		d	ρ	Label	ID
Dic₅×C₂×C₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₅ and Q=C₂²×Dic₅

extension	φ:Q→Aut N	d	Label	ID
C₅⋊(C₂²×Dic₅) = C₂²×D₅.D₅	φ: C₂²×Dic₅/C₂×C₁₀ → C₄ ⊆ Aut C₅	80	C5:(C2^2xDic5)	400,215
C₅⋊₂(C₂²×Dic₅) = C₂×D₅×Dic₅	φ: C₂²×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₅	80	C5:2(C2^2xDic5)	400,172
C₅⋊₃(C₂²×Dic₅) = C₂²×C₅²⋊₆C₄	φ: C₂²×Dic₅/C₂²×C₁₀ → C₂ ⊆ Aut C₅	400	C5:3(C2^2xDic5)	400,199

Non-split extensions G=N.Q with N=C₅ and Q=C₂²×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂²×Dic₅) = C₂²×Dic₂₅	φ: C₂²×Dic₅/C₂²×C₁₀ → C₂ ⊆ Aut C₅	400		C5.(C2^2xDic5)	400,43

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Extensions 1→N→G→Q→1 with N=C5 and Q=C22×Dic5