Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #13116432 | C2 | semidirect |
| 5. #13115622 | C2 | semidirect |
| 6. #13112946 | C2 | semidirect |
| 7. C13×#1381 | C2 | semidirect |
| 23. #11718087 | C4 | semidirect |
| 101. #1381 | D13 | semidirect |
| 238. C13 | #13144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718087 | 2 |
| C2×#11718101 | 2 |
| #13116432 | 2 |
| #13115744 | 2 |
| #13115622 | 2 |
| #13112946 | 2 |
| C13×#1381 | 2 |
| #13144 | 13 |