Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
428 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13123487 | C2 | semidirect |
| 3. #13113448 | C2 | semidirect |
| 4. #13113252 | C2 | semidirect |
| 5. #13112736 | C2 | semidirect |
| 6. #13112709 | C2 | semidirect |
| 7. C13×#1488 | C2 | semidirect |
| 128. #1488 | D13 | semidirect |
| 313. C13 | #9313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124987 | 2 |
| #13123487 | 2 |
| #13113448 | 2 |
| #13113252 | 2 |
| #13112736 | 2 |
| #13112709 | 2 |
| C13×#1488 | 2 |
| #9313 | 13 |