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

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

		d	ρ	Label	ID
C₄×Dic₅		80		C4xDic5	80,11

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁C₄ = C₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	80		Dic5:1C4	80,12
Dic₅⋊₂C₄ = C₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	20	4	Dic5:2C4	80,30
Dic₅⋊₃C₄ = C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	20	4	Dic5:3C4	80,31

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₄ = C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	40	2	Dic5.1C4	80,5
Dic₅.₂C₄ = C₂×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	80		Dic5.2C4	80,32
Dic₅.₃C₄ = C₂².F₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₅	40	4-	Dic5.3C4	80,33
Dic₅.₄C₄ = C₈×D₅	φ: trivial image	40	2	Dic5.4C4	80,4

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