Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 558 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. #13123555 | C2 | semidirect |
| 3. #13115660 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113397 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1275 | C2 | semidirect |
| 23. #11718356 | C4 | semidirect |
| 24. #11718355 | C4 | semidirect |
| 103. C2×C8×C13 | D8 | semidirect |
| 126. #1275 | D13 | semidirect |
| 303. C2×C8 | D104 | semidirect |
| 314. C13 | #9293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13123555 | 2 |
| #13115660 | 2 |
| #13113503 | 2 |
| #13113397 | 2 |
| #13112695 | 2 |
| C13×#1275 | 2 |
| #9293 | 13 |