Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₀

Direct product G=N×Q with N=C₈ and Q=D₂₀

		d	ρ	Label	ID
C₈×D₂₀		160		C8xD20	320,313

Semidirect products G=N:Q with N=C₈ and Q=D₂₀

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁D₂₀ = C₈⋊D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:1D20	320,339
C₈⋊₂D₂₀ = C₈⋊₂D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:2D20	320,492
C₈⋊₃D₂₀ = C₈⋊₃D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:3D20	320,513
C₈⋊₄D₂₀ = C₂₀⋊₄D₈	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:4D20	320,322
C₈⋊₅D₂₀ = C₈⋊₅D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:5D20	320,320
C₈⋊₆D₂₀ = C₈⋊₆D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:6D20	320,315
C₈⋊₇D₂₀ = C₈⋊₇D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	C8:7D20	320,510
C₈⋊₈D₂₀ = C₈⋊₈D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	C8:8D20	320,491
C₈⋊₉D₂₀ = C₈⋊₉D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	C8:9D20	320,333

Non-split extensions G=N.Q with N=C₈ and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₂₀ = C₈.D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160		C8.1D20	320,342
C₈.₂D₂₀ = C₈.₂D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160		C8.2D20	320,495
C₈.₃D₂₀ = D₈₀⋊C₂	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	80	4+	C8.3D20	320,535
C₈.₄D₂₀ = C₁₆.D₁₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	4-	C8.4D20	320,536
C₈.₅D₂₀ = D₁₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	2+	C8.5D20	320,6
C₈.₆D₂₀ = C₁₆₀⋊C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.6D20	320,7
C₈.₇D₂₀ = Dic₈₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	320	2-	C8.7D20	320,8
C₈.₈D₂₀ = C₈.₈D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160		C8.8D20	320,323
C₈.₉D₂₀ = C₂₀⋊₄Q₁₆	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.9D20	320,326
C₈.₁₀D₂₀ = C₂×D₈₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160		C8.10D20	320,529
C₈.₁₁D₂₀ = C₂×C₁₆⋊D₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160		C8.11D20	320,530
C₈.₁₂D₂₀ = C₂×Dic₄₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.12D20	320,532
C₈.₁₃D₂₀ = D₈₀⋊₇C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.13D20	320,531
C₈.₁₄D₂₀ = D₄₀⋊₁₇C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.14D20	320,327
C₈.₁₅D₂₀ = C₄₀.₅D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160		C8.15D20	320,49
C₈.₁₆D₂₀ = C₁₀.Q₃₂	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	320		C8.16D20	320,50
C₈.₁₇D₂₀ = D₄₀.₆C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.17D20	320,53
C₈.₁₈D₂₀ = C₄₀.₈D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.18D20	320,54
C₈.₁₉D₂₀ = D₁₀⋊₂Q₁₆	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160		C8.19D20	320,514
C₈.₂₀D₂₀ = C₈.₂₀D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.20D20	320,523
C₈.₂₁D₂₀ = C₈.₂₁D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.21D20	320,524
C₈.₂₂D₂₀ = D₄₀⋊₁₄C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.22D20	320,46
C₈.₂₃D₂₀ = D₄₀.₅C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.23D20	320,55
C₈.₂₄D₂₀ = C₈.₂₄D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.24D20	320,525
C₈.₂₅D₂₀ = C₈.₂₅D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.25D20	320,72
C₈.₂₆D₂₀ = D₂₀.₄C₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.26D20	320,73
C₈.₂₇D₂₀ = D₄₀⋊₁₀C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.27D20	320,344
C₈.₂₈D₂₀ = C₂₀⋊₃C₁₆	central extension (φ=1)	320		C8.28D20	320,20
C₈.₂₉D₂₀ = C₄₀.₇C₈	central extension (φ=1)	80	2	C8.29D20	320,21
C₈.₃₀D₂₀ = D₁₀⋊₁C₁₆	central extension (φ=1)	160		C8.30D20	320,65
C₈.₃₁D₂₀ = D₂₀.₃C₈	central extension (φ=1)	160	2	C8.31D20	320,66

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Extensions 1→N→G→Q→1 with N=C8 and Q=D20

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₀