Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×Dic₅

Direct product G=N×Q with N=C₄ and Q=C₅×Dic₅

		d	ρ	Label	ID
Dic₅×C₂₀		80		Dic5xC20	400,83

Semidirect products G=N:Q with N=C₄ and Q=C₅×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×Dic₅) = C₅×C₄⋊Dic₅	φ: C₅×Dic₅/C₅×C₁₀ → C₂ ⊆ Aut C₄	80		C4:(C5xDic5)	400,85

Non-split extensions G=N.Q with N=C₄ and Q=C₅×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×Dic₅) = C₅×C₄.Dic₅	φ: C₅×Dic₅/C₅×C₁₀ → C₂ ⊆ Aut C₄	40	2	C4.(C5xDic5)	400,82
C₄.₂(C₅×Dic₅) = C₅×C₅⋊₂C₁₆	central extension (φ=1)	80	2	C4.2(C5xDic5)	400,49
C₄.₃(C₅×Dic₅) = C₁₀×C₅⋊₂C₈	central extension (φ=1)	80		C4.3(C5xDic5)	400,81

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×Dic5