Extensions 1→N→G→Q→1 with N=C₂×C₁₆ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₁₆ and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₂×C₁₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁C₁₀ = C₅×C₂²⋊C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):1C10	320,153
(C₂×C₁₆)⋊₂C₁₀ = C₅×D₄.C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):2C10	320,155
(C₂×C₁₆)⋊₃C₁₀ = C₅×C₂.D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):3C10	320,162
(C₂×C₁₆)⋊₄C₁₀ = C₅×D₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):4C10	320,164
(C₂×C₁₆)⋊₅C₁₀ = C₁₀×D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):5C10	320,1006
(C₂×C₁₆)⋊₆C₁₀ = C₅×C₄○D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):6C10	320,1009
(C₂×C₁₆)⋊₇C₁₀ = C₁₀×SD₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):7C10	320,1007
(C₂×C₁₆)⋊₈C₁₀ = C₁₀×M₅(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):8C10	320,1004
(C₂×C₁₆)⋊₉C₁₀ = C₅×D₄○C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):9C10	320,1005

Non-split extensions G=N.Q with N=C₂×C₁₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁C₁₀ = C₅×C₂.Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).1C10	320,163
(C₂×C₁₆).₂C₁₀ = C₅×C₄⋊C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).2C10	320,168
(C₂×C₁₆).₃C₁₀ = C₅×C₁₆⋊₃C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).3C10	320,171
(C₂×C₁₆).₄C₁₀ = C₁₀×Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).4C10	320,1008
(C₂×C₁₆).₅C₁₀ = C₅×C₈.₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16).5C10	320,173
(C₂×C₁₆).₆C₁₀ = C₅×C₁₆⋊₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).6C10	320,172
(C₂×C₁₆).₇C₁₀ = C₅×C₁₆⋊₅C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).7C10	320,151
(C₂×C₁₆).₈C₁₀ = C₅×M₆(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16).8C10	320,175

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁