Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#22578025 |
| Fitting | C2×C4×Q8×C137 ⋊ C2 |
| Sylow | C137 ⋊ C2×#542 |
1132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8768 |
2764 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 17889);