Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈⋊D₅

Direct product G=N×Q with N=C₄ and Q=Q₈⋊D₅

		d	ρ	Label	ID
C₄×Q₈⋊D₅		160		C4xQ8:D5	320,652

Semidirect products G=N:Q with N=C₄ and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(Q₈⋊D₅) = C₂₀⋊₆SD₁₆	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4:1(Q8:D5)	320,712
C₄⋊₂(Q₈⋊D₅) = C₂₀⋊₅SD₁₆	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	160		C4:2(Q8:D5)	320,710
C₄⋊₃(Q₈⋊D₅) = Q₈⋊D₂₀	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160		C4:3(Q8:D5)	320,654

Non-split extensions G=N.Q with N=C₄ and Q=Q₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈⋊D₅) = C₄₀.₅D₄	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4.1(Q8:D5)	320,49
C₄.₂(Q₈⋊D₅) = C₁₀.Q₃₂	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.2(Q8:D5)	320,50
C₄.₃(Q₈⋊D₅) = C₂₀.SD₁₆	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.3(Q8:D5)	320,706
C₄.₄(Q₈⋊D₅) = C₂₀.Q₁₆	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.4(Q8:D5)	320,708
C₄.₅(Q₈⋊D₅) = C₂₀.D₈	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4.5(Q8:D5)	320,715
C₄.₆(Q₈⋊D₅) = C₈.Dic₁₀	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.6(Q8:D5)	320,45
C₄.₇(Q₈⋊D₅) = D₄₀⋊₁₄C₄	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.7(Q8:D5)	320,46
C₄.₈(Q₈⋊D₅) = C₂₀.₅Q₁₆	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	320		C4.8(Q8:D5)	320,104
C₄.₉(Q₈⋊D₅) = C₂₀.₁₀D₈	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	320		C4.9(Q8:D5)	320,105
C₄.₁₀(Q₈⋊D₅) = D₂₀⋊₅Q₈	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₄	160		C4.10(Q8:D5)	320,711
C₄.₁₁(Q₈⋊D₅) = C₂₀.₄₇D₈	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4.11(Q8:D5)	320,40
C₄.₁₂(Q₈⋊D₅) = C₄.D₄₀	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160		C4.12(Q8:D5)	320,43
C₄.₁₃(Q₈⋊D₅) = C₂₀.₄₈SD₁₆	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320		C4.13(Q8:D5)	320,647
C₄.₁₄(Q₈⋊D₅) = C₂₀.₃₉SD₁₆	central extension (φ=1)	320		C4.14(Q8:D5)	320,38
C₄.₁₅(Q₈⋊D₅) = D₂₀⋊₄C₈	central extension (φ=1)	160		C4.15(Q8:D5)	320,41
C₄.₁₆(Q₈⋊D₅) = C₂₀.₂₆Q₁₆	central extension (φ=1)	320		C4.16(Q8:D5)	320,93

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