Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈⋊D₅

Direct product G=N×Q with N=C₂² and Q=Q₈⋊D₅

		d	ρ	Label	ID
C₂²×Q₈⋊D₅		160		C2^2xQ8:D5	320,1479

Semidirect products G=N:Q with N=C₂² and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(Q₈⋊D₅) = C₅⋊₂C₈⋊₂₄D₄	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(Q8:D5)	320,675
C₂²⋊₂(Q₈⋊D₅) = D₂₀.₃₆D₄	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:2(Q8:D5)	320,673
C₂²⋊₃(Q₈⋊D₅) = (C₅×Q₈)⋊₁₃D₄	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2:3(Q8:D5)	320,854

Non-split extensions G=N.Q with N=C₂² and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈⋊D₅) = D₄₀.₅C₄	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(Q8:D5)	320,55
C₂².₂(Q₈⋊D₅) = C₄₀.₆Q₈	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(Q8:D5)	320,52
C₂².₃(Q₈⋊D₅) = D₄₀.₆C₄	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80	4+	C2^2.3(Q8:D5)	320,53
C₂².₄(Q₈⋊D₅) = C₄₀.₈D₄	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	160	4-	C2^2.4(Q8:D5)	320,54
C₂².₅(Q₈⋊D₅) = C₁₀.₂₉C₄≀C₂	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.5(Q8:D5)	320,96
C₂².₆(Q₈⋊D₅) = C₂²⋊Q₈.D₅	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.6(Q8:D5)	320,670
C₂².₇(Q₈⋊D₅) = (C₂×D₂₀)⋊C₄	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₂²	80		C2^2.7(Q8:D5)	320,9
C₂².₈(Q₈⋊D₅) = C₄⋊C₄.₂₂₈D₁₀	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.8(Q8:D5)	320,595
C₂².₉(Q₈⋊D₅) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2^2.9(Q8:D5)	320,87
C₂².₁₀(Q₈⋊D₅) = C₂×C₂₀.Q₈	central extension (φ=1)	320		C2^2.10(Q8:D5)	320,590
C₂².₁₁(Q₈⋊D₅) = C₂×D₂₀⋊₆C₄	central extension (φ=1)	160		C2^2.11(Q8:D5)	320,592
C₂².₁₂(Q₈⋊D₅) = C₂×Q₈⋊Dic₅	central extension (φ=1)	320		C2^2.12(Q8:D5)	320,851

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