Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #13114722 | C2 | semidirect |
| 5. #13112939 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C13×#2155 | C2 | semidirect |
| 20. #11718109 | C4 | semidirect |
| 21. #11718108 | C4 | semidirect |
| 94. #2155 | 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 |
|---|---|
| #13116586 | 2 |
| #13116571 | 2 |
| #13115727 | 2 |
| #13114722 | 2 |
| #13112939 | 2 |
| #13112919 | 2 |
| C13×#2155 | 2 |
| #13140 | 13 |