Finite Group DatabasebetaFinite Group Databasebeta| order | 2808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×#67×C13⋊C3 |
| Fitting | C22×C32×C13 ⋊ C2×C3 |
| Hall | C32×C13⋊C3 ⋊ D4 |
| Sylow | C13 ⋊ C32×#67 |
272 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 156 |
189 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#67×D13⋊C3, C13⋊C3×#3811, #72241987 |
| maximal normal subgroup of | C3×#67×D13⋊C3, C13⋊C3×#3811, #72241987 |
Past the SmallGroups library coverage — no SmallGroups id.