Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. C2×#11718155 | C2 | semidirect |
| 3. #13116551 | C2 | semidirect |
| 4. #13115746 | C2 | semidirect |
| 5. #13112931 | C2 | semidirect |
| 6. #13112925 | C2 | semidirect |
| 7. C13×#2948 | C2 | semidirect |
| 18. C2×#88066 | C4 | semidirect |
| 47. C2×D104 | C2×C4 | semidirect |
| 62. C2×#6090 | C2×C4 | semidirect |
| 111. #2948 | D13 | semidirect |
| 274. C13 | #13017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88066 | 2 |
| C2×#11718155 | 2 |
| #13116551 | 2 |
| #13115746 | 2 |
| #13112931 | 2 |
| #13112925 | 2 |
| C13×#2948 | 2 |
| #13017 | 13 |