Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13113627 | C2 | semidirect |
| 5. #13112725 | C2 | semidirect |
| 6. #13112673 | C2 | semidirect |
| 7. C13×#1848 | C2 | semidirect |
| 109. #1848 | D13 | semidirect |
| 134. D52 | #108 | semidirect |
| 274. C13 | #8898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123962 | 2 |
| #13113627 | 2 |
| #13113273 | 2 |
| #13113219 | 2 |
| #13112725 | 2 |
| #13112673 | 2 |
| C13×#1848 | 2 |
| #8898 | 13 |