Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123555 | C2 | semidirect |
| 3. #13113504 | C2 | semidirect |
| 4. #13113395 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112667 | C2 | semidirect |
| 7. C13×#1961 | C2 | semidirect |
| 17. #11718734 | C4 | semidirect |
| 19. #11718731 | C4 | semidirect |
| 101. C2×C8×C13 | D8 | semidirect |
| 122. #1961 | D13 | semidirect |
| 303. C2×C8 | #6104 | semidirect |
| 314. C13 | #9293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125754 | 2 |
| #13123555 | 2 |
| #13113504 | 2 |
| #13113395 | 2 |
| #13112694 | 2 |
| #13112667 | 2 |
| C13×#1961 | 2 |
| #9293 | 13 |