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. #13117044 | C2 | semidirect |
| 3. #13117027 | C2 | semidirect |
| 4. #13116622 | C2 | semidirect |
| 5. #13116546 | C2 | semidirect |
| 6. #13116447 | C2 | semidirect |
| 7. C2×C13×#427 | C2 | semidirect |
| 23. #11718084 | C22 | semidirect |
| 24. #11718083 | C22 | semidirect |
| 25. #11718082 | C22 | semidirect |
| 26. #11718081 | C22 | semidirect |
| 96. C2×#427 | 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 |
| #13117044 | 2 |
| #13117027 | 2 |
| #13116622 | 2 |
| #13116546 | 2 |
| #13116447 | 2 |
| C2×C13×#427 | 2 |
| #33647 | 13 |