Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13115577 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C13×#2159 | C2 | semidirect |
| 25. #11718110 | C4 | semidirect |
| 52. C13×M32 | C2×C4 | semidirect |
| 61. #88057 | C2×C4 | semidirect |
| 114. Dic52 | C4⋊C4 | semidirect |
| 116. D104 | C4⋊C4 | semidirect |
| 122. #2159 | D13 | semidirect |
| 229. M32 | C4×D13 | semidirect |
| 301. C13 | #12943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123636 | 2 |
| C2×#11718110 | 2 |
| #13116546 | 2 |
| #13115577 | 2 |
| #13112941 | 2 |
| #13112919 | 2 |
| C13×#2159 | 2 |
| #12943 | 13 |