Finite Group DatabasebetaFinite Group Databasebeta| order | 30276 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C9×C29×#1181 |
| Fitting, Hall | C9×C292 ⋊ C4 |
| derived | C29 ⋊ C4×C9×C29 |
| Sylow | C292 ⋊ C4×C9 |
57 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1044 |
2871 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30276, 52);