Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
770 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13125289 | C2 | semidirect |
| 2. #13120944 | C2 | semidirect |
| 3. #13113549 | C2 | semidirect |
| 4. #13113434 | C2 | semidirect |
| 5. #13113344 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 7. C13×#3213 | C2 | semidirect |
| 40. C13×C4⋊Q8 | D4 | semidirect |
| 41. C13×#127 | D4 | semidirect |
| 66. C13×C4⋊C8 | D4 | semidirect |
| 76. #88043 | D4 | semidirect |
| 134. #3213 | D13 | semidirect |
| 248. C4⋊Q8 | C22⋊D13 | semidirect |
| 254. #127 | C22⋊D13 | semidirect |
| 271. C4⋊C8 | C22⋊D13 | semidirect |
| 344. C13 | #10088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125289 | 2 |
| #13120944 | 2 |
| #13113549 | 2 |
| #13113434 | 2 |
| #13113344 | 2 |
| #13112728 | 2 |
| C13×#3213 | 2 |
| #10088 | 13 |