Finite Group DatabasebetaFinite Group Databasebeta| order | 23571 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | #731×C97⋊C3 |
| Fitting | #731×C97 ⋊ C3 |
| Sylow | C97 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2619 |
595 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23571, 247);