Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
204 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#11718113 | C2 | semidirect |
| 2. C22×#88034 | C2 | semidirect |
| 4. #13113037 | C2 | semidirect |
| 5. #13113017 | C2 | semidirect |
| 6. #13113013 | C2 | semidirect |
| 7. C13×#2216 | C2 | semidirect |
| 39. #88034 | D4 | semidirect |
| 63. #2216 | D13 | semidirect |
| 100. C22×C13 | SD64 | semidirect |
| 155. C13 | #13696 | semidirect |
| 178. C22 | #11718113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718113 | 2 |
| C22×#88034 | 2 |
| #13116922 | 2 |
| #13113037 | 2 |
| #13113017 | 2 |
| #13113013 | 2 |
| C13×#2216 | 2 |
| #13696 | 13 |