Extensions 1→N→G→Q→1 with N=D₅² and Q=C₄

Direct product G=N×Q with N=D₅² and Q=C₄

		d	ρ	Label	ID
C₄×D₅²		40	4	C4xD5^2	400,169

Semidirect products G=N:Q with N=D₅² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅²⋊₁C₄ = D₅²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅²	20	4+	D5^2:1C4	400,129
D₅²⋊₂C₄ = C₂×D₅×F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅²	40	8+	D5^2:2C4	400,209
D₅²⋊₃C₄ = C₂×D₅⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅²	20	8+	D5^2:3C4	400,210

Non-split extensions G=N.Q with N=D₅² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅².C₄ = C₅²⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out D₅²	10	8+	D5^2.C4	400,206

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Extensions 1→N→G→Q→1 with N=D52 and Q=C4