Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#22563466 |
| Fitting | C22×#117×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#2395 |
3182 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
2728 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 335808);