Finite Group DatabasebetaFinite Group Databasebeta| order | 4374 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C9×#6894⋊C2 |
| Fitting, Sylow | C9×#6894 ⋊ C2 |
895 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
378 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72243574, D9×#6894⋊C2 |
| maximal normal subgroup of | #72243574, D9×#6894⋊C2 |
Past the SmallGroups library coverage — no SmallGroups id.