Finite Group DatabasebetaFinite Group Databasebeta| order | 31164 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C49⋊#6157 |
| Fitting, Hall | C3×C49×C53 ⋊ C4 |
| derived, Hall | C49×C53 ⋊ C3×C4 |
| Hall | C3×C53 ⋊ Dic49 |
| Hall | C3×C49 ⋊ #6157 |
| Sylow | C53 ⋊ C3×Dic49 |
| Sylow | C49 ⋊ C3×#6157 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7791 |
2067 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31164, 21);