Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃xC₂₄

Direct product G=NxQ with N=C₅ and Q=C₃xC₂₄

		d	ρ	Label	ID
C₃xC₁₂₀		360		C3xC120	360,38

Semidirect products G=N:Q with N=C₅ and Q=C₃xC₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₃xC₂₄) = C₃²xC₅:C₈	φ: C₃xC₂₄/C₃xC₆ → C₄ ⊆ Aut C₅	360		C5:(C3xC24)	360,52
C₅:₂(C₃xC₂₄) = C₃²xC₅:₂C₈	φ: C₃xC₂₄/C₃xC₁₂ → C₂ ⊆ Aut C₅	360		C5:2(C3xC24)	360,33

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