Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
234 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13117061 | C2 | semidirect |
| 2. D4×#6090 | C2 | semidirect |
| 4. #13112909 | C2 | semidirect |
| 5. #13112894 | C2 | semidirect |
| 6. #13112881 | C2 | semidirect |
| 7. C13×#1675 | C2 | semidirect |
| 72. #1675 | D13 | semidirect |
| 180. C13 | #12468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117061 | 2 |
| D4×#6090 | 2 |
| #13114191 | 2 |
| #13112909 | 2 |
| #13112894 | 2 |
| #13112881 | 2 |
| C13×#1675 | 2 |
| #12468 | 13 |