Finite Group DatabasebetaFinite Group Databasebeta| order | 20288 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D317 |
| Fitting | C2×Q16×C317 ⋊ C2 |
| Sylow | C317 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10144 |
2240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20288, 1324);