Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13125987 | C2 | semidirect |
| 4. #13113430 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#1966 | C2 | semidirect |
| 126. #1966 | D13 | semidirect |
| 301. C13 | #10109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126224 | 2 |
| #13125987 | 2 |
| #13125232 | 2 |
| #13113430 | 2 |
| #13113254 | 2 |
| #13112725 | 2 |
| C13×#1966 | 2 |
| #10109 | 13 |