Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 3. #13129944 | C2 | semidirect |
| 4. #13129943 | C2 | semidirect |
| 5. #13129941 | C2 | semidirect |
| 6. C4×#88036 | C2 | semidirect |
| 15. #11718214 | C4 | semidirect |
| 16. D13⋊C32 | C4 | semidirect |
| 135. C13 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| C2×D13⋊C32 | 2 |
| #13129944 | 2 |
| #13129943 | 2 |
| #13129941 | 2 |
| C4×#88036 | 2 |
| #13116434 | 2 |
| #13549 | 13 |