Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
544 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 170 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. #13130461 | C2 | semidirect |
| 3. #13130449 | C2 | semidirect |
| 222. C13 | #17991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131741 | 2 |
| #13130461 | 2 |
| #13130449 | 2 |
| #13130399 | 2 |
| #13130199 | 2 |
| #13130050 | 2 |
| #13125420 | 2 |
| #17991 | 13 |