Extensions 1→N→G→Q→1 with N=C₂×C₂⁴⋊C₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₂⁴⋊C₅ and Q=C₂

		d	ρ	Label	ID
C₂²×C₂⁴⋊C₅		20		C2^2xC2^4:C5	320,1637

Semidirect products G=N:Q with N=C₂×C₂⁴⋊C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂⁴⋊C₅)⋊C₂ = C₂×C₂⁴⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂⁴⋊C₅	10	5+	(C2xC2^4:C5):C2	320,1636

Non-split extensions G=N.Q with N=C₂×C₂⁴⋊C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂⁴⋊C₅).C₂ = C₂⁵.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂⁴⋊C₅	20	5	(C2xC2^4:C5).C2	320,1583
(C₂×C₂⁴⋊C₅).₂C₂ = C₄×C₂⁴⋊C₅	φ: trivial image	20	5	(C2xC2^4:C5).2C2	320,1584

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Extensions 1→N→G→Q→1 with N=C2×C24⋊C5 and Q=C2