Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C26×C42 |
| direct product | C4×#19128443 |
| Fitting | C4×#124×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×H(3,𝔽4) |
2664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
2372 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 332271);