Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#11718039 | C2 | semidirect |
| 3. #13116617 | C2 | semidirect |
| 4. #13113015 | C2 | semidirect |
| 5. #13113014 | C2 | semidirect |
| 6. #13113013 | C2 | semidirect |
| 7. C13×#1415 | C2 | semidirect |
| 12. D13×D16 | C4 | semidirect |
| 16. C2×C13×C32 | C22 | semidirect |
| 17. C13×#366 | C22 | semidirect |
| 18. #11718096 | C22 | semidirect |
| 19. C2×#88034 | C22 | semidirect |
| 74. #1415 | D13 | semidirect |
| 105. C2×C32 | C2×D13 | semidirect |
| 108. #366 | C2×D13 | semidirect |
| 176. C13 | #13617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×D16 | 2 |
| C2×#11718039 | 2 |
| #13116617 | 2 |
| #13113015 | 2 |
| #13113014 | 2 |
| #13113013 | 2 |
| C13×#1415 | 2 |
| #13617 | 13 |