Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×#336×C89 ⋊ C2 |
| Sylow | C89 ⋊ #21996 |
930 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
Polycyclic presentation:
2^8,89|a^2=g,d^2=f,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^88,c^b=ce,i^c=i^883608 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 180218);