Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D137 |
| Fitting | #344×C137 ⋊ C2 |
| Sylow | C137 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2192 |
1540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 4250);