Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C8 |
| direct product | C2×#22559824 |
| Fitting | C2×C82×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#1712 |
1342 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
4300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 157259);