Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₂²⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₂²⋊Q₈

		d	ρ	Label	ID
C₁₀×C₂²⋊Q₈		160		C10xC2^2:Q8	320,1525

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₂²⋊Q₈) = C₂×Dic₅.₁₄D₄	φ: C₂×C₂²⋊Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C2xC2^2:Q8)	320,1153
C₅⋊₂(C₂×C₂²⋊Q₈) = C₂×D₁₀⋊Q₈	φ: C₂×C₂²⋊Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2xC2^2:Q8)	320,1180
C₅⋊₃(C₂×C₂²⋊Q₈) = C₂×D₁₀⋊₂Q₈	φ: C₂×C₂²⋊Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2xC2^2:Q8)	320,1181
C₅⋊₄(C₂×C₂²⋊Q₈) = D₅×C₂²⋊Q₈	φ: C₂×C₂²⋊Q₈/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	80		C5:4(C2xC2^2:Q8)	320,1298
C₅⋊₅(C₂×C₂²⋊Q₈) = C₂×C₂₀.₄₈D₄	φ: C₂×C₂²⋊Q₈/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:5(C2xC2^2:Q8)	320,1456
C₅⋊₆(C₂×C₂²⋊Q₈) = C₂×D₁₀⋊₃Q₈	φ: C₂×C₂²⋊Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:6(C2xC2^2:Q8)	320,1485

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