Finite Group DatabasebetaFinite Group Databasebeta| order | 37472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#34035530 |
| Fitting | C22×C4×C1171 ⋊ C2 |
| Sylow | C1171 ⋊ C2×#41 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18736 |
9380 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37472, 189);