Finite Group DatabasebetaFinite Group Databasebeta| order | 10404 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C17 |
| direct product | C2×#19104514 |
| derived, Sylow | C172 ⋊ C22×C9 |
| Hall | #14579583 ⋊ C22 |
| Hall | C2×C17⋊D17 ⋊ C9 |
90 conjugacy classes of subgroups.
324 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10404, 51);