Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C26 |
| direct product | C2×C16×C22⋊D67 |
| Fitting | C23×C16×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×D4×C16 |
806 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
4384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 322716);