Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13123773 | C2 | semidirect |
| 4. #13113494 | C2 | semidirect |
| 6. #13112680 | C2 | semidirect |
| 7. C13×#1301 | C2 | semidirect |
| 117. C2×#1055 | SD16 | semidirect |
| 124. #1301 | D13 | semidirect |
| 306. C13 | #9050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124845 | 2 |
| #13123773 | 2 |
| #13115633 | 2 |
| #13113494 | 2 |
| #13113260 | 2 |
| #13112680 | 2 |
| C13×#1301 | 2 |
| #9050 | 13 |