Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13123754 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116563 | C2 | semidirect |
| 5. #13112939 | C2 | semidirect |
| 6. #13112922 | C2 | semidirect |
| 7. C13×#1978 | C2 | semidirect |
| 15. C2×#88067 | C4 | semidirect |
| 18. C2×#88066 | C4 | semidirect |
| 120. #1978 | D13 | semidirect |
| 285. C13 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13123754 | 2 |
| C2×#11718155 | 2 |
| #13116563 | 2 |
| #13112939 | 2 |
| #13112922 | 2 |
| C13×#1978 | 2 |
| #13036 | 13 |