Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
616 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13124484 | C2 | semidirect |
| 2. #13117028 | C2 | semidirect |
| 3. #13116939 | C2 | semidirect |
| 4. #13116922 | C2 | semidirect |
| 5. #13116750 | C2 | semidirect |
| 6. C13×#2113 | C2 | semidirect |
| 9. C22×D104 | C22 | semidirect |
| 10. C2×C13×M32 | C22 | semidirect |
| 11. C22×C13×C16 | C22 | semidirect |
| 16. #11718776 | C22 | semidirect |
| 17. #11718767 | C22 | semidirect |
| 20. C13×C22⋊C16 | C22 | semidirect |
| 21. #11718101 | C22 | semidirect |
| 22. #11718101 | C22 | semidirect |
| 23. #11718097 | C22 | semidirect |
| 24. #11718096 | C22 | semidirect |
| 93. #2113 | D13 | semidirect |
| 124. C2×M32 | C2×D13 | semidirect |
| 125. C22×C16 | C2×D13 | semidirect |
| 136. C22⋊C16 | C2×D13 | semidirect |
| 218. C13 | #33765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124484 | 2 |
| #13117028 | 2 |
| #13116939 | 2 |
| #13116922 | 2 |
| #13116750 | 2 |
| C13×#2113 | 2 |
| #33765 | 13 |