Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13131804 | C2 | semidirect |
| 2. C2×#11718278 | C2 | semidirect |
| 3. #13131145 | C2 | semidirect |
| 4. #13130722 | C2 | semidirect |
| 5. #13129916 | C2 | semidirect |
| 6. #13129905 | C2 | semidirect |
| 21. C13×#472 | C4 | semidirect |
| 23. #11718821 | C4 | semidirect |
| 24. #11718803 | C4 | semidirect |
| 25. #11718558 | C4 | semidirect |
| 218. #472 | #261 | semidirect |
| 374. C13 | #13068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131804 | 2 |
| C2×#11718278 | 2 |
| #13131145 | 2 |
| #13130722 | 2 |
| #13129916 | 2 |
| #13129905 | 2 |
| D13×#472 | 2 |
| #13068 | 13 |