C₂²⋊Q₈×D₅₄₁ #46830669

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂²⋊Q₈×D₅₄₁

Fitting	C₂²⋊Q₈×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ C₂×C₂²⋊Q₈

322 conjugacy classes of subgroups; only the 121 normal subgroups are shown.

normal subgroups only

This group has 322 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.

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

μ_t(G) = 8656

3808 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1043);