Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂.D₂₄

Direct product G=N×Q with N=C₅ and Q=C₂.D₂₄

		d	ρ	Label	ID
C₅×C₂.D₂₄		240		C5xC2.D24	480,140

Semidirect products G=N:Q with N=C₅ and Q=C₂.D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂.D₂₄) = D₁₂⋊F₅	φ: C₂.D₂₄/D₁₂ → C₄ ⊆ Aut C₅	120	8+	C5:(C2.D24)	480,228
C₅⋊₂(C₂.D₂₄) = D₆₀⋊₁₅C₄	φ: C₂.D₂₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2.D24)	480,45
C₅⋊₃(C₂.D₂₄) = D₆₀⋊₈C₄	φ: C₂.D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:3(C2.D24)	480,181
C₅⋊₄(C₂.D₂₄) = C₁₀.D₂₄	φ: C₂.D₂₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C2.D24)	480,43

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