Finite Group DatabasebetaFinite Group Databasebeta| order | 21568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×#13062438 |
| Fitting | D8×C337 ⋊ C4 |
| Sylow | C337 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2696 |
616 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21568, 1585);