Finite Group DatabasebetaFinite Group Databasebeta| order | 37792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D4724 |
| Fitting | C42×C1181 ⋊ C2 |
| Sylow | C1181 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18896 |
9460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37792, 110);