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

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

		d	ρ	Label	ID
C₅×C₁₂.Q₈		480		C5xC12.Q8	480,127

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₁₂.Q₈) = Dic₅.Dic₆	φ: C₁₂.Q₈/C₃⋊C₈ → C₄ ⊆ Aut C₅	120	8	C5:(C12.Q8)	480,235
C₅⋊₂(C₁₂.Q₈) = C₆₀.Q₈	φ: C₁₂.Q₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	480		C5:2(C12.Q8)	480,63
C₅⋊₃(C₁₂.Q₈) = C₃₀.SD₁₆	φ: C₁₂.Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(C12.Q8)	480,62
C₅⋊₄(C₁₂.Q₈) = C₆₀.₂Q₈	φ: C₁₂.Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	480		C5:4(C12.Q8)	480,168

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