Finite Group DatabasebetaFinite Group Databasebeta| order | 20288 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D317⋊C16 |
| unambiguous semidirect product | D317⋊(C2×C16) |
| derived, Sylow | C317 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10144 |
1328 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20288, 1603);