Finite Group DatabasebetaFinite Group Databasebeta| order | 31164 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C49⋊C3×Dic53 |
| unambiguous semidirect product | (C49×Dic53)⋊C3 |
| derived, Hall | C49×C53 ⋊ C3×C4 |
| Hall | C49×Dic53 ⋊ C3 |
| Hall | C53×C49⋊C3 ⋊ C4 |
| Sylow | C53 ⋊ C4×C49⋊C3 |
| Sylow | C49 ⋊ C3×Dic53 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10388 |
1064 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31164, 10);