Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13115582 | C2 | semidirect |
| 5. #13112937 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#2155 | C2 | semidirect |
| 23. #11718110 | C4 | semidirect |
| 46. C13×M32 | C2×C4 | semidirect |
| 53. #88057 | C2×C4 | semidirect |
| 107. #2155 | D13 | semidirect |
| 197. M32 | C4×D13 | semidirect |
| 259. C13 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123607 | 2 |
| #13116583 | 2 |
| #13116573 | 2 |
| #13115582 | 2 |
| #13112937 | 2 |
| #13112917 | 2 |
| C13×#2155 | 2 |
| #12951 | 13 |