#33958751

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁸

Aliases

No aliases for this group.

1672 conjugacy classes of subgroups.

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=h,b^2=f,c^2=fh,g^2=h,b^a=bf,c^a=cg,d^a=df,g^a=gh,i^a=i^72,c^b=cf,e^b=eh,i^b=i^72,g^c=gh,e^d=eh

1201 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1042335);