Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13116636 | C2 | semidirect |
| 3. #13116632 | C2 | semidirect |
| 4. #13112760 | C2 | semidirect |
| 5. #13112759 | C2 | semidirect |
| 6. #13112759 | C2 | semidirect |
| 7. C13×#1314 | C2 | semidirect |
| 115. #1314 | D13 | semidirect |
| 287. C13 | #11489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718390 | 2 |
| #13116636 | 2 |
| #13116632 | 2 |
| #13112760 | 2 |
| #13112759 | 2 |
| C13×#1314 | 2 |
| #11489 | 13 |