Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
| direct product | #125×C83⋊C8 |
| Sylow | C83 ⋊ C8×#125 |
742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21248 |
2408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 177872);