#37548495

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹

Aliases

No aliases for this group.

Fitting	C₂×#131×C₁₈₁ ⋊ C₂
Sylow	C₁₈₁ ⋊ #3584

1424 conjugacy classes of subgroups; only the 545 normal subgroups are shown.

normal subgroups only

This group has 1424 conjugacy classes of subgroups — too many to draw. Only its 545 normal subgroups are shown.

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

μ_t(G) = 5792

Polycyclic presentation:

2^7,181|e^2=g,f^2=g,b^a=bf,f^a=fg,h^a=h^180,f^b=fg,h^b=h^180,d^c=dg

3644 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 19284);