Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
620 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13118013 | C2 | semidirect |
| 2. #13113550 | C2 | semidirect |
| 3. #13113383 | C2 | semidirect |
| 4. #13112701 | C2 | semidirect |
| 10. C13×#493 | C4 | semidirect |
| 11. C13×#492 | C4 | semidirect |
| 28. C13×C4⋊Q8 | C2×C4 | semidirect |
| 31. C13×#127 | C2×C4 | semidirect |
| 40. C4×C8×C13 | C2×C4 | semidirect |
| 119. #493 | Dic13 | semidirect |
| 120. #492 | Dic13 | semidirect |
| 153. C4⋊Q8 | C2×Dic13 | semidirect |
| 156. #127 | C2×Dic13 | semidirect |
| 168. C4×C8 | C2×Dic13 | semidirect |
| 210. C13 | #9428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118013 | 2 |
| #13113550 | 2 |
| #13113383 | 2 |
| #13112701 | 2 |
| C13×#3151 | 2 |
| #9428 | 13 |