Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | Q8×#14581754 |
| Fitting | Q8×C4⋊C4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×D4×Q8 |
3148 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
2150 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 329431);