Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=F₅

Direct product G=N×Q with N=C₂⁴ and Q=F₅

		d	ρ	Label	ID
C₂⁴×F₅		80		C2^4xF5	320,1638

Semidirect products G=N:Q with N=C₂⁴ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊F₅ = C₂⁴⋊F₅	φ: F₅/C₁ → F₅ ⊆ Aut C₂⁴	10	5+	C2^4:F5	320,1635
C₂⁴⋊₂F₅ = C₂⁴⋊₂F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂⁴	40	4	C2^4:2F5	320,272
C₂⁴⋊₃F₅ = C₂×C₂³⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4:3F5	320,1134
C₂⁴⋊₄F₅ = C₂⁴⋊₄F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂⁴	40		C2^4:4F5	320,1138
C₂⁴⋊₅F₅ = C₂²×C₂²⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂⁴	80		C2^4:5F5	320,1607

Non-split extensions G=N.Q with N=C₂⁴ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁F₅ = C₂⁴.F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.1F5	320,271
C₂⁴.₂F₅ = C₂×C₂³.F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.2F5	320,1137
C₂⁴.₃F₅ = C₂×C₂³.₂F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂⁴	160		C2^4.3F5	320,1135
C₂⁴.₄F₅ = C₂⁴.₄F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂⁴	80		C2^4.4F5	320,1136
C₂⁴.₅F₅ = C₂²×C₂².F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂⁴	160		C2^4.5F5	320,1606
C₂⁴.₆F₅ = C₂³×C₅⋊C₈	central extension (φ=1)	320		C2^4.6F5	320,1605

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