Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
674 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13121199 | C2 | semidirect |
| 2. #13116067 | C2 | semidirect |
| 3. #13115907 | C2 | semidirect |
| 4. #13112658 | C2 | semidirect |
| 5. #13112657 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#2011 | C2 | semidirect |
| 111. C2×D52 | D8 | semidirect |
| 136. C4⋊Dic13 | D8 | semidirect |
| 149. #2011 | D13 | semidirect |
| 406. C13 | #7737 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121199 | 2 |
| #13116067 | 2 |
| #13115907 | 2 |
| #13112658 | 2 |
| #13112657 | 2 |
| #13112656 | 2 |
| C13×#2011 | 2 |
| #7737 | 13 |