Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13116622 | C2 | semidirect |
| 5. #13114718 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#1387 | C2 | semidirect |
| 21. #11718087 | C4 | semidirect |
| 101. #1387 | D13 | semidirect |
| 244. C13 | #13136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116622 | 2 |
| C2×#11718087 | 2 |
| #13116553 | 2 |
| #13115700 | 2 |
| #13114718 | 2 |
| #13112917 | 2 |
| C13×#1387 | 2 |
| #13136 | 13 |