Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 462 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. #13131157 | C2 | semidirect |
| 3. #13131152 | C2 | semidirect |
| 4. #13130995 | C2 | semidirect |
| 5. #13129898 | C2 | semidirect |
| 6. #13129889 | C2 | semidirect |
| 20. C2×C13×SD32 | C4 | semidirect |
| 21. C2×#88069 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×#88040 | C4 | semidirect |
| 175. C2×SD32 | #261 | semidirect |
| 307. C13 | #13016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131612 | 2 |
| #13131157 | 2 |
| #13131152 | 2 |
| #13130995 | 2 |
| #13129898 | 2 |
| #13129889 | 2 |
| C2×#11718577 | 2 |
| #13016 | 13 |