Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#17984167 |
| Fitting | C2×C42×C137 ⋊ C4 |
| Sylow | C137 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4384 |
1168 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 20942);