Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂₄⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂₄⋊C₄

		d	ρ	Label	ID
C₅×C₂₄⋊C₄		480		C5xC24:C4	480,134

Semidirect products G=N:Q with N=C₅ and Q=C₂₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂₄⋊C₄) = C₃₀.₄C₄²	φ: C₂₄⋊C₄/C₃⋊C₈ → C₄ ⊆ Aut C₅	120	8	C5:1(C24:C4)	480,226
C₅⋊₂(C₂₄⋊C₄) = C₂₄⋊F₅	φ: C₂₄⋊C₄/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:2(C24:C4)	480,297
C₅⋊₃(C₂₄⋊C₄) = C₃₀.M₄(2)	φ: C₂₄⋊C₄/C₂×Dic₃ → C₄ ⊆ Aut C₅	480		C5:3(C24:C4)	480,245
C₅⋊₄(C₂₄⋊C₄) = C₃₀.₂₃C₄²	φ: C₂₄⋊C₄/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	480		C5:4(C24:C4)	480,30
C₅⋊₅(C₂₄⋊C₄) = C₃₀.₂₂C₄²	φ: C₂₄⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:5(C24:C4)	480,29
C₅⋊₆(C₂₄⋊C₄) = C₁₂₀⋊₁₃C₄	φ: C₂₄⋊C₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	480		C5:6(C24:C4)	480,175

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