Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².C₄

Direct product G=N×Q with N=C₅ and Q=C₄².C₄

		d	ρ	Label	ID
C₅×C₄².C₄		80	4	C5xC4^2.C4	320,160

Semidirect products G=N:Q with N=C₅ and Q=C₄².C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².C₄) = C₄².₂F₅	φ: C₄².C₄/C₄² → C₄ ⊆ Aut C₅	80	4	C5:1(C4^2.C4)	320,194
C₅⋊₂(C₄².C₄) = (D₄×C₁₀).C₄	φ: C₄².C₄/C₂×D₄ → C₄ ⊆ Aut C₅	80	8-	C5:2(C4^2.C4)	320,261
C₅⋊₃(C₄².C₄) = (C₂×C₄).D₂₀	φ: C₄².C₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₅	80	8+	C5:3(C4^2.C4)	320,35
C₅⋊₄(C₄².C₄) = C₄².Dic₅	φ: C₄².C₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	80	4	C5:4(C4^2.C4)	320,100

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