Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D151 |
| Fitting | C22×SD16×C151 ⋊ C2 |
| Sylow | C151 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4832 |
2135 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 16200);