Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
718 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 718 conjugacy classes of subgroups — too many to draw. Only its 211 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. #13123687 | C2 | semidirect |
| 3. #13116711 | C2 | semidirect |
| 4. #13116682 | C2 | semidirect |
| 5. #13116551 | C2 | semidirect |
| 6. #13116432 | C2 | semidirect |
| 7. C13×#2158 | C2 | semidirect |
| 15. C2×D208 | C4 | semidirect |
| 18. #11718533 | C22 | semidirect |
| 20. C13×#367 | C22 | semidirect |
| 21. C13×#366 | C22 | semidirect |
| 22. #11718094 | C22 | semidirect |
| 23. C16×Dic13 | C22 | semidirect |
| 24. #11718083 | C22 | semidirect |
| 32. C2×D104 | C2×C4 | semidirect |
| 37. C2×C13×C16 | C2×C4 | semidirect |
| 47. D208 | C2×C4 | semidirect |
| 48. D208 | C2×C4 | semidirect |
| 80. #2158 | D13 | semidirect |
| 113. #367 | C2×D13 | semidirect |
| 114. #366 | C2×D13 | semidirect |
| 145. C2×C16 | C4×D13 | semidirect |
| 183. C13 | #33456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| #13123687 | 2 |
| #13116711 | 2 |
| #13116682 | 2 |
| #13116551 | 2 |
| #13116432 | 2 |
| C13×#2158 | 2 |
| #33456 | 13 |