Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13127410 | C2 | semidirect |
| 2. #13117078 | C2 | semidirect |
| 3. #13116877 | C2 | semidirect |
| 5. #13112887 | C2 | semidirect |
| 6. #13112807 | C2 | semidirect |
| 7. C13×#1330 | C2 | semidirect |
| 106. #1330 | D13 | semidirect |
| 245. C13 | #12349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127410 | 2 |
| #13117078 | 2 |
| #13116877 | 2 |
| #13114315 | 2 |
| #13112887 | 2 |
| #13112807 | 2 |
| C13×#1330 | 2 |
| #12349 | 13 |