#30906246

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

Aliases

No aliases for this group.

732 conjugacy classes of subgroups.

μ_t(G) = 8576

Polycyclic presentation:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 219983);