Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13127972 | C2 | semidirect |
| 2. #13124417 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13112938 | C2 | semidirect |
| 5. C13×#2112 | C2 | semidirect |
| 35. C2×Dic52 | D4 | semidirect |
| 40. C2×D104 | D4 | semidirect |
| 45. C2×C13×C16 | D4 | semidirect |
| 48. #88057 | D4 | semidirect |
| 96. #2112 | D13 | semidirect |
| 185. C2×C16 | C22⋊D13 | semidirect |
| 234. C13 | #13309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| #13124417 | 2 |
| #13116573 | 2 |
| #13112938 | 2 |
| C13×#2112 | 2 |
| #13309 | 13 |