Finite Group DatabasebetaFinite Group Databasebeta| order | 31356 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#30627894 |
| derived, Hall | C13×C67 ⋊ C22×C9 |
| Hall | #21463203 ⋊ C22 |
| Hall | C2×C13×D67 ⋊ C9 |
| Hall | C2×D67 ⋊ C13⋊C9 |
| Sylow | C67 ⋊ C22×C13⋊C9 |
| Sylow | C13 ⋊ C2×D67⋊C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15678 |
942 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31356, 45);