Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#11924531 |
| Fitting | C4×C4⋊C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C4×#126 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
776 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 7063);