Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131188 | C2 | semidirect |
| 4. #13130641 | C2 | semidirect |
| 5. #13129912 | C2 | semidirect |
| 6. #13129879 | C2 | semidirect |
| 23. C13×#361 | C4 | semidirect |
| 24. #11718155 | C4 | semidirect |
| 25. #11718108 | C4 | semidirect |
| 26. #11718087 | C4 | semidirect |
| 163. #361 | #261 | semidirect |
| 273. C13 | #13136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131188 | 2 |
| #13131145 | 2 |
| #13130983 | 2 |
| #13130641 | 2 |
| #13129912 | 2 |
| #13129879 | 2 |
| D13×#361 | 2 |
| #13136 | 13 |