Finite Group DatabasebetaFinite Group Databasebeta| order | 21536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D5384 |
| Fitting | C2×C8×C673 ⋊ C2 |
| Sylow | C673 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10768 |
5390 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21536, 157);