Finite Group DatabasebetaFinite Group Databasebeta| order | 19792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2474 |
| unambiguous semidirect product | (C2×C1237)⋊Q8 |
| Sylow | C1237 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19792 |
4954 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19792, 38);