Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #13125236 | C2 | semidirect |
| 2. #13120704 | C2 | semidirect |
| 3. #13113462 | C2 | semidirect |
| 4. #13113383 | C2 | semidirect |
| 5. #13113279 | C2 | semidirect |
| 6. #13112702 | C2 | semidirect |
| 333. C13 | #10019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125236 | 2 |
| #13120704 | 2 |
| #13113462 | 2 |
| #13113383 | 2 |
| #13113279 | 2 |
| #13112702 | 2 |
| C13×#3109 | 2 |
| #10019 | 13 |