Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 90 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. D13⋊#365 | C2 | semidirect |
| 3. C2×#11718219 | C2 | semidirect |
| 5. #13129914 | C2 | semidirect |
| 6. #13129906 | C2 | semidirect |
| 25. C13×#350 | C4 | semidirect |
| 26. #11718153 | C4 | semidirect |
| 27. #11718107 | C4 | semidirect |
| 28. #11718100 | C4 | semidirect |
| 182. #350 | #261 | semidirect |
| 295. C13 | #12933 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131497 | 2 |
| D13⋊#365 | 2 |
| C2×#11718219 | 2 |
| #13130724 | 2 |
| #13129914 | 2 |
| #13129906 | 2 |
| #13116462 | 2 |
| #12933 | 13 |