Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
328 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 328 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 |
|---|---|---|
| 3. C2×#11718104 | C2 | semidirect |
| 5. #13115572 | C2 | semidirect |
| 6. #13112946 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 20. #11718101 | C4 | semidirect |
| 21. #11718095 | C4 | semidirect |
| 101. #1383 | D13 | semidirect |
| 242. C13 | #13153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718080 | 2 |
| #13116549 | 2 |
| C2×#11718104 | 2 |
| #13115727 | 2 |
| #13115572 | 2 |
| #13112946 | 2 |
| C13×#1383 | 2 |
| #13153 | 13 |