Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
396 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116457 | C2 | semidirect |
| 3. #13112820 | C2 | semidirect |
| 4. C13×#1812 | C2 | semidirect |
| 7. C22×D104 | C4 | semidirect |
| 10. #11718796 | C4 | semidirect |
| 15. #11718767 | C4 | semidirect |
| 17. C13×H(3,ℤ/4) | C22 | semidirect |
| 19. #11718145 | C22 | semidirect |
| 97. #1812 | D13 | semidirect |
| 145. H(3,ℤ/4) | C2×D13 | semidirect |
| 244. C13 | #11868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124484 | 2 |
| #13116457 | 2 |
| #13112820 | 2 |
| C13×#1812 | 2 |
| #11868 | 13 |