Extensions 1→N→G→Q→1 with N=C₁₀×SD₁₆ and Q=C₂

Direct product G=N×Q with N=C₁₀×SD₁₆ and Q=C₂

		d	ρ	Label	ID
SD₁₆×C₂×C₁₀		160		SD16xC2xC10	320,1572

Semidirect products G=N:Q with N=C₁₀×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×SD₁₆)⋊₁C₂ = C₄₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80	4	(C10xSD16):1C2	320,804
(C₁₀×SD₁₆)⋊₂C₂ = D₂₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80	4	(C10xSD16):2C2	320,1434
(C₁₀×SD₁₆)⋊₃C₂ = C₄₀⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):3C2	320,801
(C₁₀×SD₁₆)⋊₄C₂ = C₄₀⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):4C2	320,803
(C₁₀×SD₁₆)⋊₅C₂ = C₂×D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80		(C10xSD16):5C2	320,1431
(C₁₀×SD₁₆)⋊₆C₂ = C₂×SD₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):6C2	320,1432
(C₁₀×SD₁₆)⋊₇C₂ = C₄₀.₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):7C2	320,795
(C₁₀×SD₁₆)⋊₈C₂ = C₄₀⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):8C2	320,798
(C₁₀×SD₁₆)⋊₉C₂ = C₄₀⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):9C2	320,802
(C₁₀×SD₁₆)⋊₁₀C₂ = C₂×D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80		(C10xSD16):10C2	320,1430
(C₁₀×SD₁₆)⋊₁₁C₂ = C₂×SD₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):11C2	320,1433
(C₁₀×SD₁₆)⋊₁₂C₂ = C₅×C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):12C2	320,969
(C₁₀×SD₁₆)⋊₁₃C₂ = C₅×D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80	4	(C10xSD16):13C2	320,972
(C₁₀×SD₁₆)⋊₁₄C₂ = C₅×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):14C2	320,997
(C₁₀×SD₁₆)⋊₁₅C₂ = C₁₀×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80		(C10xSD16):15C2	320,1575
(C₁₀×SD₁₆)⋊₁₆C₂ = C₁₀×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):16C2	320,1576
(C₁₀×SD₁₆)⋊₁₇C₂ = C₅×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80	4	(C10xSD16):17C2	320,1579
(C₁₀×SD₁₆)⋊₁₈C₂ = Dic₅⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):18C2	320,790
(C₁₀×SD₁₆)⋊₁₉C₂ = (C₅×D₄).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):19C2	320,792
(C₁₀×SD₁₆)⋊₂₀C₂ = D₁₀⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80		(C10xSD16):20C2	320,796
(C₁₀×SD₁₆)⋊₂₁C₂ = D₁₀⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):21C2	320,797
(C₁₀×SD₁₆)⋊₂₂C₂ = D₂₀⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):22C2	320,799
(C₁₀×SD₁₆)⋊₂₃C₂ = Dic₁₀.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):23C2	320,800
(C₁₀×SD₁₆)⋊₂₄C₂ = C₅×Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):24C2	320,949
(C₁₀×SD₁₆)⋊₂₅C₂ = C₅×D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):25C2	320,950
(C₁₀×SD₁₆)⋊₂₆C₂ = C₅×C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	80		(C10xSD16):26C2	320,951
(C₁₀×SD₁₆)⋊₂₇C₂ = C₅×D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):27C2	320,953
(C₁₀×SD₁₆)⋊₂₈C₂ = C₅×C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):28C2	320,961
(C₁₀×SD₁₆)⋊₂₉C₂ = C₅×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):29C2	320,964
(C₁₀×SD₁₆)⋊₃₀C₂ = C₅×C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):30C2	320,966
(C₁₀×SD₁₆)⋊₃₁C₂ = C₅×C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):31C2	320,993
(C₁₀×SD₁₆)⋊₃₂C₂ = C₅×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160		(C10xSD16):32C2	320,996
(C₁₀×SD₁₆)⋊₃₃C₂ = C₁₀×C₄○D₈	φ: trivial image	160		(C10xSD16):33C2	320,1574

Non-split extensions G=N.Q with N=C₁₀×SD₁₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₁₀×SD₁₆).₁C₂ = SD₁₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).1C2	320,791
(C₁₀×SD₁₆).₂C₂ = C₄₀.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).2C2	320,794
(C₁₀×SD₁₆).₃C₂ = SD₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).3C2	320,788
(C₁₀×SD₁₆).₄C₂ = C₅×SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).4C2	320,941
(C₁₀×SD₁₆).₅C₂ = C₅×C₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).5C2	320,998
(C₁₀×SD₁₆).₆C₂ = Dic₅⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).6C2	320,789
(C₁₀×SD₁₆).₇C₂ = (C₅×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).7C2	320,793
(C₁₀×SD₁₆).₈C₂ = C₅×D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).8C2	320,962
(C₁₀×SD₁₆).₉C₂ = C₅×Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×SD₁₆	160	(C10xSD16).9C2	320,965
(C₁₀×SD₁₆).₁₀C₂ = SD₁₆×C₂₀	φ: trivial image	160	(C10xSD16).10C2	320,939

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Extensions 1→N→G→Q→1 with N=C10×SD16 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀×SD₁₆ and Q=C₂