Finite Group DatabasebetaFinite Group Databasebeta| order | 31164 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C53 · Schur multiplier (H2) = C7 |
| direct product | C4×C53×#3862 |
| Fitting, Hall | C4×C72×C53 ⋊ C3 |
| derived, Sylow | C72 ⋊ C3×C4×C53 |
| Hall | C72×C53 ⋊ C3×C4 |
| Hall | C4×C72 ⋊ C3×C53 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4452 |
4028 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31164, 61);