Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | #124×C79⋊C8 |
| Sylow | C79 ⋊ C8×#124 |
974 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
2296 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 177434);