Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂.₆Q₈

Direct product G=N×Q with N=C₅ and Q=C₁₂.₆Q₈

		d	ρ	Label	ID
C₅×C₁₂.₆Q₈		480		C5xC12.6Q8	480,749

Semidirect products G=N:Q with N=C₅ and Q=C₁₂.₆Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂.₆Q₈) = Dic₅.₇Dic₆	φ: C₁₂.₆Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	480		C5:1(C12.6Q8)	480,454
C₅⋊₂(C₁₂.₆Q₈) = C₂₀.Dic₆	φ: C₁₂.₆Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(C12.6Q8)	480,464
C₅⋊₃(C₁₂.₆Q₈) = C₆₀.₂₄Q₈	φ: C₁₂.₆Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:3(C12.6Q8)	480,835

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