Extensions 1→N→G→Q→1 with N=C₅²⋊C₄ and Q=C₂²

Direct product G=N×Q with N=C₅²⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₅²⋊C₄		40		C2^2xC5^2:C4	400,217

Semidirect products G=N:Q with N=C₅²⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₄⋊₁C₂² = C₂×D₅⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅²⋊C₄	20	8+	C5^2:C4:1C2^2	400,210
C₅²⋊C₄⋊₂C₂² = C₂×D₅≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₅²⋊C₄	20	4+	C5^2:C4:2C2^2	400,211

Non-split extensions G=N.Q with N=C₅²⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₄.C₂² = D₅≀C₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅²⋊C₄	10	8+	C5^2:C4.C2^2	400,207
C₅²⋊C₄.₂C₂² = C₂×C₅²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅²⋊C₄	20	8+	C5^2:C4.2C2^2	400,212

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Extensions 1→N→G→Q→1 with N=C52⋊C4 and Q=C22