Finite Group DatabasebetaFinite Group Databasebeta| order | 37472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D1171 |
| Fitting | C22×C4×C1171 ⋊ C2 |
| Sylow | C1171 ⋊ C4×D4 |
94 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, 107);