Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂.C₈

Direct product G=N×Q with N=C₅ and Q=C₁₂.C₈

		d	ρ	Label	ID
C₅×C₁₂.C₈		240	2	C5xC12.C8	480,131

Semidirect products G=N:Q with N=C₅ and Q=C₁₂.C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂.C₈) = C₁₂₀.C₄	φ: C₁₂.C₈/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:1(C12.C8)	480,295
C₅⋊₂(C₁₂.C₈) = C₆₀.C₈	φ: C₁₂.C₈/C₂×C₁₂ → C₄ ⊆ Aut C₅	240	4	C5:2(C12.C8)	480,303
C₅⋊₃(C₁₂.C₈) = C₄₀.₅₁D₆	φ: C₁₂.C₈/C₃⋊C₁₆ → C₂ ⊆ Aut C₅	240	4	C5:3(C12.C8)	480,10
C₅⋊₄(C₁₂.C₈) = C₆₀.₇C₈	φ: C₁₂.C₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:4(C12.C8)	480,172

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