Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C89×#1436 ⋊ C2 |
| Sylow | C89 ⋊ #14701 |
1674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
Polycyclic presentation:
2^8,89|a^2=h,b^2=h,c^2=ef,d^2=e,b^a=be,c^a=cf,d^a=dg,i^c=i^88,i^d=i^882552 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 100844);