#37534149

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₂³×C₈×C₁₈₁ ⋊ C₂
Sylow	C₁₈₁ ⋊ #1893

432 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 432 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.

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

μ_t(G) = 11584

Polycyclic presentation:

2^7,181|a^2=f,b^2=dfg,d^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^180

5804 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 4938);