Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₃Dic₃

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₃Dic₃

		d	ρ	Label	ID
C₅×Q₈⋊₃Dic₃		120	4	C5xQ8:3Dic3	480,156

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₃Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₃Dic₃) = Dic₁₀⋊Dic₃	φ: Q₈⋊₃Dic₃/C₃×D₄ → C₄ ⊆ Aut C₅	120	8	C5:1(Q8:3Dic3)	480,313
C₅⋊₂(Q₈⋊₃Dic₃) = D₂₀⋊₂Dic₃	φ: Q₈⋊₃Dic₃/C₃×Q₈ → C₄ ⊆ Aut C₅	120	8	C5:2(Q8:3Dic3)	480,315
C₅⋊₃(Q₈⋊₃Dic₃) = C₆₀.₉₆D₄	φ: Q₈⋊₃Dic₃/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:3(Q8:3Dic3)	480,52
C₅⋊₄(Q₈⋊₃Dic₃) = C₆₀.₉₇D₄	φ: Q₈⋊₃Dic₃/C₄×Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:4(Q8:3Dic3)	480,53
C₅⋊₅(Q₈⋊₃Dic₃) = Q₈⋊₃Dic₁₅	φ: Q₈⋊₃Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	120	4	C5:5(Q8:3Dic3)	480,197

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