#30913388

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

Aliases

No aliases for this group.

876 conjugacy classes of subgroups.

μ_t(G) = 4288

Polycyclic presentation:

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

1099 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 227125);