Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#22569502 |
| Fitting | C2×#536×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#3011 |
4718 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
1516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 1036000);