Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. C4×#88059 | C2 | semidirect |
| 3. #13113427 | C2 | semidirect |
| 4. #13113252 | C2 | semidirect |
| 5. C8×C13×M16 | C2 | semidirect |
| 92. C8×M16 | D13 | semidirect |
| 221. C13 | #9724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125415 | 2 |
| C4×#88059 | 2 |
| #13113427 | 2 |
| #13113252 | 2 |
| C8×C13×M16 | 2 |
| #9724 | 13 |