Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #13113117 | C2 | semidirect |
| 5. M16×#1055 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#1299 | C2 | semidirect |
| 105. #1299 | D13 | semidirect |
| 245. C13 | #8241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123547 | 2 |
| #13113496 | 2 |
| #13113427 | 2 |
| #13113117 | 2 |
| M16×#1055 | 2 |
| #13112725 | 2 |
| C13×#1299 | 2 |
| #8241 | 13 |