Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C3×#10708598 |
| Fitting | C32×#1721 ⋊ C2 |
| Sylow | C32 ⋊ #12314 |
889 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 889 conjugacy classes of subgroups — too many to draw. Only its 118 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
162 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#72215247, #72219789, #72219791 |
| maximal normal subgroup of | C3×#72215247, #72219789, #72219791 |
Past the SmallGroups library coverage — no SmallGroups id.