Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C4×#19128417 |
| Fitting | C4×C4⋊Q8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#555 |
2564 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
2396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 329513);