Finite Group DatabasebetaFinite Group Databasebeta| order | 36972 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#32914866 |
| derived, Hall | C13×C79 ⋊ C22×C9 |
| Hall | #22604456 ⋊ C22 |
| Hall | C2×D1027 ⋊ C9 |
| Sylow | C79 ⋊ C2×D13⋊C9 |
| Sylow | C13 ⋊ C2×D79⋊C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18486 |
1062 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36972, 56);