C₂×Q₈×C₁₆₃⋊C₈ #35223458

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂×Q₈×C₁₆₃⋊C₈

C₁₆₃ ⋊ C₂×C₈×Q₈

440 conjugacy classes of subgroups; only the 333 normal subgroups are shown.

normal subgroups only

This group has 440 conjugacy classes of subgroups — too many to draw. Only its 333 normal subgroups are shown.

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

μ_t(G) = 20864

3320 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 13432);