#36475970

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

No aliases for this group.

1970 conjugacy classes of subgroups.

μ_t(G) = 22784

Polycyclic presentation:

2^8,89|a^2=g,b^2=h,c^2=g,d^2=fg,b^a=be,c^a=cf,i^a=i^88,d^b=de,i^c=i^88,i^d=i^88

2564 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 91110);