Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
598 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 192 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13130483 | C2 | semidirect |
| 3. #13130429 | C2 | semidirect |
| 208. C13 | #17961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131625 | 2 |
| #13130483 | 2 |
| #13130429 | 2 |
| #13130391 | 2 |
| #13130185 | 2 |
| #13130030 | 2 |
| #13125420 | 2 |
| #17961 | 13 |