Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 113 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×#11718088 | C2 | semidirect |
| 4. C2×#11718095 | C2 | semidirect |
| 6. #13112946 | C2 | semidirect |
| 7. C13×#1381 | C2 | semidirect |
| 23. #11718557 | C4 | semidirect |
| 123. #1381 | D13 | semidirect |
| 286. C13 | #13072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718562 | 2 |
| C2×#11718557 | 2 |
| C2×#11718088 | 2 |
| C2×#11718095 | 2 |
| #13114897 | 2 |
| #13112946 | 2 |
| C13×#1381 | 2 |
| #13072 | 13 |