#35433529

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

766 conjugacy classes of subgroups.

μ_t(G) = 5312

Polycyclic presentation:

2^8,83|a^2=f,b^2=e,c^2=e,d^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,i^a=i^82,c^b=cg,g^b=gh,i^b=i^82,f^c=fh,g^c=gh

1856 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 198693);