#36462811

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

1118 conjugacy classes of subgroups.

μ_t(G) = 5696

Polycyclic presentation:

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

1988 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 77951);