Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂⁴.₄C₄

Direct product G=N×Q with N=C₅ and Q=C₂⁴.₄C₄

		d	ρ	Label	ID
C₅×C₂⁴.₄C₄		80		C5xC2^4.4C4	320,908

Semidirect products G=N:Q with N=C₅ and Q=C₂⁴.₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂⁴.₄C₄) = D₁₀⋊₉M₄(2)	φ: C₂⁴.₄C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:1(C2^4.4C4)	320,1093
C₅⋊₂(C₂⁴.₄C₄) = D₁₀⋊₁₀M₄(2)	φ: C₂⁴.₄C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:2(C2^4.4C4)	320,1094
C₅⋊₃(C₂⁴.₄C₄) = C₂⁴.₄F₅	φ: C₂⁴.₄C₄/C₂⁴ → C₄ ⊆ Aut C₅	80		C5:3(C2^4.4C4)	320,1136
C₅⋊₄(C₂⁴.₄C₄) = D₁₀⋊₇M₄(2)	φ: C₂⁴.₄C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₅	80		C5:4(C2^4.4C4)	320,353
C₅⋊₅(C₂⁴.₄C₄) = D₁₀⋊₈M₄(2)	φ: C₂⁴.₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	80		C5:5(C2^4.4C4)	320,753
C₅⋊₆(C₂⁴.₄C₄) = C₂⁴.₄Dic₅	φ: C₂⁴.₄C₄/C₂³×C₄ → C₂ ⊆ Aut C₅	80		C5:6(C2^4.4C4)	320,834

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