Finite Group DatabasebetaFinite Group Databasebeta| order | 2916 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#13091386 |
| Fitting | C2×#10624864 ⋊ C2 |
| Sylow | #10624864 ⋊ C22 |
843 conjugacy classes of subgroups.
| transitive degree | μt(G) = 486 |
348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221830, C2×#72221831, C2×#72221833, … |
| maximal normal subgroup of | C2×#72221831, C2×#72221833, C2×#72221834, … |
Past the SmallGroups library coverage — no SmallGroups id.