Finite Group DatabasebetaFinite Group Databasebeta| order | 20624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2578 |
| unambiguous semidirect product | (C2×C1289)⋊Q8 |
| Sylow | C1289 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 20624 |
5162 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20624, 38);