Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13116609 | C2 | semidirect |
| 5. #13114720 | C2 | semidirect |
| 6. #13112940 | C2 | semidirect |
| 7. C13×#1377 | C2 | semidirect |
| 20. #11718109 | C4 | semidirect |
| 21. #11718108 | C4 | semidirect |
| 100. #1377 | D13 | semidirect |
| 231. C13 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116609 | 2 |
| #13116586 | 2 |
| #13116573 | 2 |
| #13115729 | 2 |
| #13114720 | 2 |
| #13112940 | 2 |
| C13×#1377 | 2 |
| #13140 | 13 |