Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₂₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₂₄

		d	ρ	Label	ID
C₂×C₁₂₀		240		C2xC120	240,84

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₂₄) = C₃×D₅⋊C₈	φ: C₂×C₂₄/C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:1(C2xC24)	240,111
C₅⋊₂(C₂×C₂₄) = C₆×C₅⋊C₈	φ: C₂×C₂₄/C₂×C₆ → C₄ ⊆ Aut C₅	240		C5:2(C2xC24)	240,115
C₅⋊₃(C₂×C₂₄) = D₅×C₂₄	φ: C₂×C₂₄/C₂₄ → C₂ ⊆ Aut C₅	120	2	C5:3(C2xC24)	240,33
C₅⋊₄(C₂×C₂₄) = C₆×C₅⋊₂C₈	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C2xC24)	240,38

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