Extensions 1→N→G→Q→1 with N=C₂×Q₁₆ and Q=C₁₀

Direct product G=N×Q with N=C₂×Q₁₆ and Q=C₁₀

		d	ρ	Label	ID
Q₁₆×C₂×C₁₀		320		Q16xC2xC10	320,1573

Semidirect products G=N:Q with N=C₂×Q₁₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₁₆)⋊₁C₁₀ = C₅×C₂²⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):1C10	320,952
(C₂×Q₁₆)⋊₂C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):2C10	320,953
(C₂×Q₁₆)⋊₃C₁₀ = C₅×Q₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):3C10	320,965
(C₂×Q₁₆)⋊₄C₁₀ = C₅×C₈.₁₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):4C10	320,968
(C₂×Q₁₆)⋊₅C₁₀ = C₅×C₈.₁₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):5C10	320,996
(C₂×Q₁₆)⋊₆C₁₀ = C₁₀×SD₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):6C10	320,1007
(C₂×Q₁₆)⋊₇C₁₀ = C₅×C₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):7C10	320,971
(C₂×Q₁₆)⋊₈C₁₀ = C₅×D₄.₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160	4	(C2xQ16):8C10	320,974
(C₂×Q₁₆)⋊₉C₁₀ = C₅×C₈.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):9C10	320,998
(C₂×Q₁₆)⋊₁₀C₁₀ = C₅×Q₃₂⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160	4	(C2xQ16):10C10	320,1011
(C₂×Q₁₆)⋊₁₁C₁₀ = C₁₀×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160		(C2xQ16):11C10	320,1576
(C₂×Q₁₆)⋊₁₂C₁₀ = C₅×Q₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160	4	(C2xQ16):12C10	320,1580
(C₂×Q₁₆)⋊₁₃C₁₀ = C₁₀×C₄○D₈	φ: trivial image	160		(C2xQ16):13C10	320,1574

Non-split extensions G=N.Q with N=C₂×Q₁₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₁₆).₁C₁₀ = C₅×C₂.Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	320		(C2xQ16).1C10	320,163
(C₂×Q₁₆).₂C₁₀ = C₅×C₄⋊₂Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	320		(C2xQ16).2C10	320,963
(C₂×Q₁₆).₃C₁₀ = C₅×C₄⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	320		(C2xQ16).3C10	320,995
(C₂×Q₁₆).₄C₁₀ = C₁₀×Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	320		(C2xQ16).4C10	320,1008
(C₂×Q₁₆).₅C₁₀ = C₅×C₈.₁₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	160	4	(C2xQ16).5C10	320,167
(C₂×Q₁₆).₆C₁₀ = C₅×Q₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₁₆	320		(C2xQ16).6C10	320,942
(C₂×Q₁₆).₇C₁₀ = Q₁₆×C₂₀	φ: trivial image	320		(C2xQ16).7C10	320,940

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