Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂.₅₃D₄

Direct product G=N×Q with N=C₅ and Q=C₁₂.₅₃D₄

		d	ρ	Label	ID
C₅×C₁₂.₅₃D₄		240	4	C5xC12.53D4	480,141

Semidirect products G=N:Q with N=C₅ and Q=C₁₂.₅₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂.₅₃D₄) = D₁₀.Dic₆	φ: C₁₂.₅₃D₄/C₃⋊C₈ → C₄ ⊆ Aut C₅	240	8	C5:1(C12.53D4)	480,237
C₅⋊₂(C₁₂.₅₃D₄) = D₁₀.₂Dic₆	φ: C₁₂.₅₃D₄/C₃⋊C₈ → C₄ ⊆ Aut C₅	240	8	C5:2(C12.53D4)	480,238
C₅⋊₃(C₁₂.₅₃D₄) = C₁₂.₅₉D₂₀	φ: C₁₂.₅₃D₄/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240	4	C5:3(C12.53D4)	480,69
C₅⋊₄(C₁₂.₅₃D₄) = C₆₀.D₄	φ: C₁₂.₅₃D₄/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4	C5:4(C12.53D4)	480,68
C₅⋊₅(C₁₂.₅₃D₄) = C₆₀.₂₁₀D₄	φ: C₁₂.₅₃D₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4	C5:5(C12.53D4)	480,182

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