Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13113582 | C2 | semidirect |
| 3. C2×#11718071 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#1283 | C2 | semidirect |
| 106. #1283 | D13 | semidirect |
| 253. C13 | #8606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123481 | 2 |
| #13113582 | 2 |
| C2×#11718071 | 2 |
| #13113224 | 2 |
| #13113221 | 2 |
| #13112687 | 2 |
| C13×#1283 | 2 |
| #8606 | 13 |