Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. C2×#11718085 | C2 | semidirect |
| 4. #13114718 | C2 | semidirect |
| 5. #13112932 | C2 | semidirect |
| 6. #13112913 | C2 | semidirect |
| 19. #11718156 | C4 | semidirect |
| 20. #11718156 | C4 | semidirect |
| 21. #11718154 | C4 | semidirect |
| 22. #11718154 | C4 | semidirect |
| 254. C13 | #13134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718085 | 2 |
| #13116543 | 2 |
| #13115725 | 2 |
| #13114718 | 2 |
| #13112932 | 2 |
| #13112913 | 2 |
| C2×C13×#359 | 2 |
| #13134 | 13 |