Finite Group DatabasebetaFinite Group Databasebeta| order | 3888 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C32 · Schur multiplier (H2) = C23×C32 |
| direct product | C3×#67×(C3⋊D3)⋊C3 |
| Fitting | C22×C32×H(3,𝔽3) ⋊ C22 |
| Sylow | C32×H(3,𝔽3) ⋊ C2×D4 |
2216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 72 |
270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#67×PSU(3,𝔽2)⋊C3 |
Past the SmallGroups library coverage — no SmallGroups id.