Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1188 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1188 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. #13116510 | C2 | semidirect |
| 4. #13116499 | C2 | semidirect |
| 5. C13×#2884 | C2 | semidirect |
| 7. C2×#88257 | C4 | semidirect |
| 10. #41×Dic13 | C4 | semidirect |
| 14. #11719521 | C4 | semidirect |
| 18. C2×#88198 | C4 | semidirect |
| 123. #2884 | D13 | semidirect |
| 299. C13 | #33360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128617 | 2 |
| #13123300 | 2 |
| #13116510 | 2 |
| #13116499 | 2 |
| C13×#2884 | 2 |
| #33360 | 13 |