Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123472 | C2 | semidirect |
| 3. #13113434 | C2 | semidirect |
| 4. #13113168 | C2 | semidirect |
| 5. #13112730 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 7. C13×#1527 | C2 | semidirect |
| 62. C13×#97 | D4 | semidirect |
| 74. #88043 | D4 | semidirect |
| 136. #1527 | D13 | semidirect |
| 279. #97 | C22⋊D13 | semidirect |
| 350. C13 | #9389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123472 | 2 |
| #13120525 | 2 |
| #13113434 | 2 |
| #13113168 | 2 |
| #13112730 | 2 |
| #13112728 | 2 |
| C13×#1527 | 2 |
| #9389 | 13 |