Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13116365 | C2 | semidirect |
| 3. #13116240 | C2 | semidirect |
| 4. #13112662 | C2 | semidirect |
| 5. #13112656 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#2072 | C2 | semidirect |
| 123. #2072 | D13 | semidirect |
| 334. C13 | #7796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121862 | 2 |
| #13116365 | 2 |
| #13116240 | 2 |
| #13112662 | 2 |
| #13112656 | 2 |
| C13×#2072 | 2 |
| #7796 | 13 |