Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1220 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1220 conjugacy classes of subgroups — too many to draw. Only its 271 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. #13123300 | C2 | semidirect |
| 3. #13116507 | C2 | semidirect |
| 4. #13116499 | C2 | semidirect |
| 5. C13×#2884 | C2 | semidirect |
| 7. C2×#88256 | C4 | semidirect |
| 13. #41×Dic13 | C4 | semidirect |
| 16. #11719521 | C4 | semidirect |
| 17. C2×#88201 | C4 | semidirect |
| 20. C13×#410 | C22 | semidirect |
| 22. #11718901 | C22 | semidirect |
| 23. #11718066 | C22 | semidirect |
| 24. #11718065 | C22 | semidirect |
| 123. #2884 | D13 | semidirect |
| 177. #410 | C2×D13 | semidirect |
| 301. C13 | #33362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128630 | 2 |
| #13123300 | 2 |
| #13116507 | 2 |
| #13116499 | 2 |
| C13×#2884 | 2 |
| #33362 | 13 |