C₄²×C₂²⋊D₈₃ #24909809

order	10624
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₄²×C₂²⋊D₈₃

Fitting	C₂²×C₄²×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₄²×D₄

924 conjugacy classes of subgroups; only the 381 normal subgroups are shown.

normal subgroups only

This group has 924 conjugacy classes of subgroups — too many to draw. Only its 381 normal subgroups are shown.

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

2704 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10624, 6856);