Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #13114872 | C2 | semidirect |
| 3. #13114614 | C2 | semidirect |
| 4. #13113351 | C2 | semidirect |
| 5. #13113197 | C2 | semidirect |
| 6. #13113196 | C2 | semidirect |
| 7. C13×#1507 | C2 | semidirect |
| 9. C22×#6104 | C4 | semidirect |
| 14. C2×#88072 | C4 | semidirect |
| 22. C2×#88049 | C4 | semidirect |
| 23. C2×#88047 | C4 | semidirect |
| 143. #1507 | D13 | semidirect |
| 362. C13 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718699 | 2 |
| #13114872 | 2 |
| #13114614 | 2 |
| #13113351 | 2 |
| #13113197 | 2 |
| #13113196 | 2 |
| C13×#1507 | 2 |
| #9818 | 13 |