Finite Group DatabasebetaFinite Group Databasebeta| order | 10404 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×#16812392 |
| derived | C172⋊C3 ⋊ C3×C4 |
| Hall | C3×C172⋊C3 ⋊ C4 |
| Sylow | C172 ⋊ C3×Dic3 |
48 conjugacy classes of subgroups.
450 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10404, 77);