C₂⁴×Q₈×D₁₃ #16776798

order	3328
automorphism	?
homology	Abelianization (H₁) = C₂⁷ · Schur multiplier (H₂) = C₂²⁰

Aliases

C₂⁴×Q₈×D₁₃

Fitting	C₂⁴×Q₈×C₁₃ ⋊ C₂
Sylow	C₁₃ ⋊ C₂⁵×Q₈

63326 conjugacy classes of subgroups; only the 34795 normal subgroups are shown.

normal subgroups only

This group has 63326 conjugacy classes of subgroups — too many to draw. Only its 34795 normal subgroups are shown.

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

μ_t(G) = 1664

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1083447);