Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131612 | C2 | semidirect |
| 2. D13⋊#361 | C2 | semidirect |
| 3. #13131151 | C2 | semidirect |
| 4. #13130997 | C2 | semidirect |
| 5. #13129906 | C2 | semidirect |
| 6. #13129885 | C2 | semidirect |
| 20. C2×C13×D16 | C4 | semidirect |
| 21. C2×#88067 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×#88040 | C4 | semidirect |
| 177. C2×D16 | #261 | semidirect |
| 311. C13 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131612 | 2 |
| D13⋊#361 | 2 |
| #13131151 | 2 |
| #13130997 | 2 |
| #13129906 | 2 |
| #13129885 | 2 |
| C2×#11718572 | 2 |
| #13036 | 13 |