Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123753 | C2 | semidirect |
| 3. C2×#11718102 | C2 | semidirect |
| 4. #13115732 | C2 | semidirect |
| 5. #13112952 | C2 | semidirect |
| 6. #13112924 | C2 | semidirect |
| 7. C13×#2138 | C2 | semidirect |
| 16. #11718856 | C4 | semidirect |
| 18. #11718854 | C4 | semidirect |
| 127. #2138 | D13 | semidirect |
| 303. C13 | #13021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13123753 | 2 |
| C2×#11718102 | 2 |
| #13115732 | 2 |
| #13112952 | 2 |
| #13112924 | 2 |
| C13×#2138 | 2 |
| #13021 | 13 |