Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13116455 | C2 | semidirect |
| 3. #13114881 | C2 | semidirect |
| 4. #13112824 | C2 | semidirect |
| 5. #13112822 | C2 | semidirect |
| 6. #13112820 | C2 | semidirect |
| 7. C13×#1340 | C2 | semidirect |
| 8. C2×#88173 | C4 | semidirect |
| 12. #11718850 | C4 | semidirect |
| 18. #11718526 | C4 | semidirect |
| 19. D13×#106 | C4 | semidirect |
| 125. #1340 | D13 | semidirect |
| 303. C13 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124500 | 2 |
| #13116455 | 2 |
| #13114881 | 2 |
| #13112824 | 2 |
| #13112822 | 2 |
| #13112820 | 2 |
| C13×#1340 | 2 |
| #11867 | 13 |