#36455703

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

550 conjugacy classes of subgroups.

μ_t(G) = 22784

Polycyclic presentation:

2^8,89|a^2=gh,b^2=gh,c^2=g,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^88,c^b=cf,d^b=dg,e^b=eh,i^b=i^88,d^c=dh,e^c=eh

2510 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 70843);