Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
584 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 171 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. C2×#11718767 | C2 | semidirect |
| 3. #13117045 | C2 | semidirect |
| 4. #13117028 | C2 | semidirect |
| 5. #13116624 | C2 | semidirect |
| 6. #13116549 | C2 | semidirect |
| 7. C13×#2112 | C2 | semidirect |
| 23. #11718101 | C22 | semidirect |
| 24. #11718097 | C22 | semidirect |
| 25. #11718096 | C22 | semidirect |
| 26. #11718095 | C22 | semidirect |
| 101. #2112 | D13 | semidirect |
| 237. C13 | #33647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124417 | 2 |
| C2×#11718767 | 2 |
| #13117045 | 2 |
| #13117028 | 2 |
| #13116624 | 2 |
| #13116549 | 2 |
| C13×#2112 | 2 |
| #33647 | 13 |