C₂⁴×Q₈×D₄₃ #26010476

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂⁷ · Schur multiplier (H₂) = C₂²⁰

Aliases

C₂⁴×Q₈×D₄₃

Fitting	C₂⁴×Q₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ 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.

1840 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1083447);