Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
740 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13125774 | C2 | semidirect |
| 2. #13124629 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113228 | C2 | semidirect |
| 6. #13112739 | C2 | semidirect |
| 7. C13×#1503 | C2 | semidirect |
| 37. C13×C4⋊Q8 | D4 | semidirect |
| 38. C13×C4⋊Q8 | D4 | semidirect |
| 75. C4⋊#1055 | D4 | semidirect |
| 76. C4⋊#1055 | D4 | semidirect |
| 108. C2×D52 | SD16 | semidirect |
| 142. #1503 | D13 | semidirect |
| 253. C4⋊Q8 | D52 | semidirect |
| 254. C4⋊Q8 | D52 | semidirect |
| 358. C13 | #10246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13124629 | 2 |
| #13119778 | 2 |
| #13113503 | 2 |
| #13113228 | 2 |
| #13112739 | 2 |
| C13×#1503 | 2 |
| #10246 | 13 |