Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C23×C42 |
| direct product | #117×C79⋊C8 |
| Sylow | C79 ⋊ C8×#117 |
1174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
3280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 167773);