Q₈×C₂²⋊D₄₁₉ #41001025

order	26816
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

Q₈×C₂²⋊D₄₁₉

Fitting	C₂²×Q₈×C₄₁₉ ⋊ C₂
Sylow	C₄₁₉ ⋊ D₄×Q₈

280 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 280 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 13408

4205 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26816, 1213);