Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. #13123752 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13115735 | C2 | semidirect |
| 5. #13112933 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 17. C2×#88069 | C4 | semidirect |
| 18. C2×#88068 | C4 | semidirect |
| 19. C2×#88067 | C4 | semidirect |
| 20. C2×#88066 | C4 | semidirect |
| 129. #2143 | D13 | semidirect |
| 307. C13 | #13016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718855 | 2 |
| #13123752 | 2 |
| #13116573 | 2 |
| #13115735 | 2 |
| #13112933 | 2 |
| #13112926 | 2 |
| C13×#2143 | 2 |
| #13016 | 13 |