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. #13125819 | C2 | semidirect |
| 2. #13120943 | C2 | semidirect |
| 3. #13113550 | C2 | semidirect |
| 4. #13113433 | C2 | semidirect |
| 5. #13113344 | C2 | semidirect |
| 6. #13112730 | C2 | semidirect |
| 7. C13×#3151 | C2 | semidirect |
| 42. C13×C4⋊Q8 | D4 | semidirect |
| 47. C13×#127 | D4 | semidirect |
| 66. C13×#97 | D4 | semidirect |
| 75. C4⋊#1055 | D4 | semidirect |
| 135. #3151 | D13 | semidirect |
| 248. C4⋊Q8 | C22⋊D13 | semidirect |
| 254. #127 | C22⋊D13 | semidirect |
| 278. #97 | 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 |
|---|---|
| #13125819 | 2 |
| #13120943 | 2 |
| #13113550 | 2 |
| #13113433 | 2 |
| #13113344 | 2 |
| #13112730 | 2 |
| C13×#3151 | 2 |
| #10088 | 13 |