Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².₃C₄

Direct product G=N×Q with N=C₅ and Q=C₄².₃C₄

		d	ρ	Label	ID
C₅×C₄².₃C₄		80	4	C5xC4^2.3C4	320,161

Semidirect products G=N:Q with N=C₅ and Q=C₄².₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².₃C₄) = C₄².F₅	φ: C₄².₃C₄/C₄² → C₄ ⊆ Aut C₅	80	4-	C5:1(C4^2.3C4)	320,193
C₅⋊₂(C₄².₃C₄) = (Q₈×C₁₀).C₄	φ: C₄².₃C₄/C₂×Q₈ → C₄ ⊆ Aut C₅	80	8-	C5:2(C4^2.3C4)	320,267
C₅⋊₃(C₄².₃C₄) = (C₂×Q₈).D₁₀	φ: C₄².₃C₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₅	80	8-	C5:3(C4^2.3C4)	320,36
C₅⋊₄(C₄².₃C₄) = C₄².₃Dic₅	φ: C₄².₃C₄/C₄⋊Q₈ → C₂ ⊆ Aut C₅	80	4	C5:4(C4^2.3C4)	320,106

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