Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 122 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. #13131042 | C2 | semidirect |
| 2. #13130383 | C2 | semidirect |
| 3. #13129790 | C2 | semidirect |
| 17. #11718257 | C22 | semidirect |
| 18. #11718254 | C22 | semidirect |
| 24. C2×C13×D8 | C8 | semidirect |
| 148. C2×D8 | #1057 | semidirect |
| 209. C13 | #11593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| #13130383 | 2 |
| #13129790 | 2 |
| C2×D8×Dic13 | 2 |
| #11593 | 13 |