Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
950 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13125751 | C2 | semidirect |
| 2. #13123230 | C2 | semidirect |
| 3. #13115665 | C2 | semidirect |
| 4. #13113504 | C2 | semidirect |
| 5. #13113503 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 7. C13×#3205 | C2 | semidirect |
| 38. C13×C4⋊Q8 | D4 | semidirect |
| 43. C13×#127 | D4 | semidirect |
| 63. C13×C4⋊C8 | D4 | semidirect |
| 72. C4⋊#1055 | D4 | semidirect |
| 126. C4×Dic13 | D8 | semidirect |
| 131. #3205 | D13 | semidirect |
| 242. C4⋊Q8 | C22⋊D13 | semidirect |
| 255. #127 | C22⋊D13 | semidirect |
| 268. C4⋊C8 | C22⋊D13 | semidirect |
| 338. C13 | #10280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13123230 | 2 |
| #13115665 | 2 |
| #13113504 | 2 |
| #13113503 | 2 |
| #13112668 | 2 |
| C13×#3205 | 2 |
| #10280 | 13 |