Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | Q8×#15667932 |
| Fitting | Q8×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ Q8×#102 |
1314 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
2270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 186153);