Finite Group DatabasebetaFinite Group Databasebeta| order | 30324 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic2527 |
| derived, Hall | C7×C361 ⋊ C3×C4 |
| Hall | C3×C7×C361 ⋊ C4 |
| Hall | C3×C361 ⋊ Dic7 |
| Sylow | C361 ⋊ C3×Dic7 |
| Hall | C3×C7 ⋊ Dic361 |
| Sylow | C7 ⋊ C3×Dic361 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 30324 |
7590 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30324, 20);