Finite Group DatabasebetaFinite Group Databasebeta| order | 37568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D587 |
| Fitting | #108×C587 ⋊ C2 |
| Sylow | C587 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9392 |
4130 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37568, 593);