Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1506 conjugacy classes of subgroups; only the 242 normal subgroups are shown.
This group has 1506 conjugacy classes of subgroups — too many to draw. Only its 242 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. C22×#88240 | C2 | semidirect |
| 2. C2×#11719063 | C2 | semidirect |
| 3. #13130814 | C2 | semidirect |
| 4. #13130784 | C2 | semidirect |
| 5. #13130661 | C2 | semidirect |
| 6. #13130570 | C2 | semidirect |
| 42. C2×D13⋊C8 | D4 | semidirect |
| 103. C23×C13 | #131 | semidirect |
| 121. C2×Dic13 | #131 | semidirect |
| 239. C13 | #21442 | semidirect |
| 247. C23 | #88240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88240 | 2 |
| C2×#11719063 | 2 |
| #13130814 | 2 |
| #13130784 | 2 |
| #13130661 | 2 |
| #13130570 | 2 |
| #13118053 | 2 |
| #21442 | 13 |