Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₃Q₈

Direct product G=N×Q with N=C₅ and Q=D₄⋊₃Q₈

		d	ρ	Label	ID
C₅×D₄⋊₃Q₈		160		C5xD4:3Q8	320,1556

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₃Q₈) = C₁₀.₁₀2₊¹⁺⁴	φ: D₄⋊₃Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(D4:3Q8)	320,1183
C₅⋊₂(D₄⋊₃Q₈) = D₄⋊₅Dic₁₀	φ: D₄⋊₃Q₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:2(D4:3Q8)	320,1211
C₅⋊₃(D₄⋊₃Q₈) = D₄⋊₆Dic₁₀	φ: D₄⋊₃Q₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:3(D4:3Q8)	320,1215
C₅⋊₄(D₄⋊₃Q₈) = D₂₀⋊₁₀Q₈	φ: D₄⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:4(D4:3Q8)	320,1251
C₅⋊₅(D₄⋊₃Q₈) = C₁₀.₁₁₈2₊¹⁺⁴	φ: D₄⋊₃Q₈/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(D4:3Q8)	320,1307
C₅⋊₆(D₄⋊₃Q₈) = C₁₀.₅₂2₊¹⁺⁴	φ: D₄⋊₃Q₈/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:6(D4:3Q8)	320,1308
C₅⋊₇(D₄⋊₃Q₈) = D₂₀⋊₇Q₈	φ: D₄⋊₃Q₈/C₄².C₂ → C₂ ⊆ Aut C₅	160		C5:7(D4:3Q8)	320,1362
C₅⋊₈(D₄⋊₃Q₈) = D₂₀⋊₉Q₈	φ: D₄⋊₃Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:8(D4:3Q8)	320,1402

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