Extensions 1→N→G→Q→1 with N=C₁₀×D₈ and Q=C₂

Direct product G=N×Q with N=C₁₀×D₈ and Q=C₂

		d	ρ	Label	ID
D₈×C₂×C₁₀		160		D8xC2xC10	320,1571

Semidirect products G=N:Q with N=C₁₀×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×D₈)⋊₁C₂ = D₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):1C2	320,774
(C₁₀×D₈)⋊₂C₂ = C₄₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):2C2	320,787
(C₁₀×D₈)⋊₃C₂ = D₈⋊₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):3C2	320,1429
(C₁₀×D₈)⋊₄C₂ = C₂×C₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):4C2	320,773
(C₁₀×D₈)⋊₅C₂ = C₄₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):5C2	320,778
(C₁₀×D₈)⋊₆C₂ = C₄₀⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):6C2	320,784
(C₁₀×D₈)⋊₇C₂ = C₂×D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80		(C10xD8):7C2	320,1426
(C₁₀×D₈)⋊₈C₂ = C₂×D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):8C2	320,1428
(C₁₀×D₈)⋊₉C₂ = C₄₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):9C2	320,781
(C₁₀×D₈)⋊₁₀C₂ = C₄₀⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):10C2	320,786
(C₁₀×D₈)⋊₁₁C₂ = C₂×D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80		(C10xD8):11C2	320,1427
(C₁₀×D₈)⋊₁₂C₂ = Dic₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):12C2	320,777
(C₁₀×D₈)⋊₁₃C₂ = D₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80		(C10xD8):13C2	320,783
(C₁₀×D₈)⋊₁₄C₂ = Dic₁₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):14C2	320,785
(C₁₀×D₈)⋊₁₅C₂ = C₅×C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80		(C10xD8):15C2	320,948
(C₁₀×D₈)⋊₁₆C₂ = C₅×D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):16C2	320,950
(C₁₀×D₈)⋊₁₇C₂ = C₅×C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):17C2	320,960
(C₁₀×D₈)⋊₁₈C₂ = C₅×C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):18C2	320,967
(C₁₀×D₈)⋊₁₉C₂ = C₅×C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):19C2	320,994
(C₁₀×D₈)⋊₂₀C₂ = C₁₀×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):20C2	320,1006
(C₁₀×D₈)⋊₂₁C₂ = C₅×C₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):21C2	320,970
(C₁₀×D₈)⋊₂₂C₂ = C₅×D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):22C2	320,973
(C₁₀×D₈)⋊₂₃C₂ = C₅×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8):23C2	320,997
(C₁₀×D₈)⋊₂₄C₂ = C₅×C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):24C2	320,1010
(C₁₀×D₈)⋊₂₅C₂ = C₁₀×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80		(C10xD8):25C2	320,1575
(C₁₀×D₈)⋊₂₆C₂ = C₅×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8):26C2	320,1578
(C₁₀×D₈)⋊₂₇C₂ = C₁₀×C₄○D₈	φ: trivial image	160		(C10xD8):27C2	320,1574

Non-split extensions G=N.Q with N=C₁₀×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×D₈).₁C₂ = D₈.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8).1C2	320,121
(C₁₀×D₈).₂C₂ = C₁₀.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).2C2	320,120
(C₁₀×D₈).₃C₂ = C₂×D₈.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).3C2	320,775
(C₁₀×D₈).₄C₂ = D₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).4C2	320,776
(C₁₀×D₈).₅C₂ = C₄₀.₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).5C2	320,782
(C₁₀×D₈).₆C₂ = D₈⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).6C2	320,779
(C₁₀×D₈).₇C₂ = C₅×C₂.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).7C2	320,162
(C₁₀×D₈).₈C₂ = (C₂×D₈).D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).8C2	320,780
(C₁₀×D₈).₉C₂ = C₅×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).9C2	320,964
(C₁₀×D₈).₁₀C₂ = C₅×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).10C2	320,996
(C₁₀×D₈).₁₁C₂ = C₁₀×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).11C2	320,1007
(C₁₀×D₈).₁₂C₂ = C₅×M₅(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	80	4	(C10xD8).12C2	320,166
(C₁₀×D₈).₁₃C₂ = C₅×D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₈	160		(C10xD8).13C2	320,943
(C₁₀×D₈).₁₄C₂ = D₈×C₂₀	φ: trivial image	160		(C10xD8).14C2	320,938

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Extensions 1→N→G→Q→1 with N=C10×D8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀×D₈ and Q=C₂