Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123689 | C2 | semidirect |
| 3. C2×#11718087 | C2 | semidirect |
| 4. #13116552 | C2 | semidirect |
| 5. #13112933 | C2 | semidirect |
| 6. #13112925 | C2 | semidirect |
| 7. C13×#1978 | C2 | semidirect |
| 17. C2×#88066 | C4 | semidirect |
| 33. C2×C13×D8 | C2×C4 | semidirect |
| 63. C2×#6090 | C2×C4 | semidirect |
| 114. #1978 | D13 | semidirect |
| 198. C2×D8 | C4×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 |
| #13123689 | 2 |
| C2×#11718087 | 2 |
| #13116552 | 2 |
| #13112933 | 2 |
| #13112925 | 2 |
| C13×#1978 | 2 |
| #13017 | 13 |