Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
272 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13117116 | C2 | semidirect |
| 4. #13114453 | C2 | semidirect |
| 6. #13112755 | C2 | semidirect |
| 7. C13×#2254 | C2 | semidirect |
| 69. #2254 | D13 | semidirect |
| 167. C13 | #12532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117116 | 2 |
| #13117061 | 2 |
| #13117060 | 2 |
| #13114453 | 2 |
| #13114429 | 2 |
| #13112755 | 2 |
| C13×#2254 | 2 |
| #12532 | 13 |