Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
374 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13113611 | C2 | semidirect |
| 4. #13113608 | C2 | semidirect |
| 6. #13112733 | C2 | semidirect |
| 7. C13×#1301 | C2 | semidirect |
| 106. #1301 | D13 | semidirect |
| 260. C13 | #8863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123473 | 2 |
| #13114817 | 2 |
| #13113611 | 2 |
| #13113608 | 2 |
| #13113148 | 2 |
| #13112733 | 2 |
| C13×#1301 | 2 |
| #8863 | 13 |