Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13116441 | C2 | semidirect |
| 5. #13112950 | C2 | semidirect |
| 6. #13112943 | C2 | semidirect |
| 7. C13×#1951 | C2 | semidirect |
| 19. #11718088 | C4 | semidirect |
| 20. #11718087 | C4 | semidirect |
| 98. #1951 | D13 | semidirect |
| 232. C13 | #13156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116583 | 2 |
| C2×#11718080 | 2 |
| #13116441 | 2 |
| #13115734 | 2 |
| #13112950 | 2 |
| #13112943 | 2 |
| C13×#1951 | 2 |
| #13156 | 13 |