Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C2×D17×#393 |
| Fitting | C2×C17×#393 ⋊ C2 |
| Sylow | C17 ⋊ C22×#393 |
7118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
440 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 335746);