Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₈⋊C₂²

Direct product G=N×Q with N=C₅ and Q=C₂×C₈⋊C₂²

		d	ρ	Label	ID
C₁₀×C₈⋊C₂²		80		C10xC8:C2^2	320,1575

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈⋊C₂²) = C₂×C₈⋊D₁₀	φ: C₂×C₈⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₅	80		C5:1(C2xC8:C2^2)	320,1418
C₅⋊₂(C₂×C₈⋊C₂²) = C₂×D₈⋊D₅	φ: C₂×C₈⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₅	80		C5:2(C2xC8:C2^2)	320,1427
C₅⋊₃(C₂×C₈⋊C₂²) = C₂×D₄₀⋊C₂	φ: C₂×C₈⋊C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₅	80		C5:3(C2xC8:C2^2)	320,1431
C₅⋊₄(C₂×C₈⋊C₂²) = D₅×C₈⋊C₂²	φ: C₂×C₈⋊C₂²/C₈⋊C₂² → C₂ ⊆ Aut C₅	40	8+	C5:4(C2xC8:C2^2)	320,1444
C₅⋊₅(C₂×C₈⋊C₂²) = C₂×D₄.D₁₀	φ: C₂×C₈⋊C₂²/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2xC8:C2^2)	320,1465
C₅⋊₆(C₂×C₈⋊C₂²) = C₂×D₄⋊D₁₀	φ: C₂×C₈⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80		C5:6(C2xC8:C2^2)	320,1492

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