#30918825

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

780 conjugacy classes of subgroups.

μ_t(G) = 17152

Polycyclic presentation:

2^8,67|a^2=f,b^2=f,c^2=fh,d^2=h,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,c^b=cg,e^b=eh,i^b=i^66,i^c=i^66,e^d=eh

1306 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 232562);