Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C3 |
| direct product | C3⋊D3×#1418 |
| Fitting | C32×#1418 ⋊ C2 |
| Sylow | C32 ⋊ C2×#1418 |
906 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 153 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 288 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | C3⋊D3×#13658 |
| maximal normal subgroup of | C3⋊D3×#13658 |
| maximal quotient of | C3⋊D3×#7385 |
Past the SmallGroups library coverage — no SmallGroups id.