Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. #13112715 | C2 | semidirect |
| 5. #13112703 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 7. C13×#2569 | C2 | semidirect |
| 121. #2569 | D13 | semidirect |
| 342. C13 | #10376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115672 | 2 |
| #13113403 | 2 |
| C2×#11718043 | 2 |
| #13112715 | 2 |
| #13112703 | 2 |
| #13112684 | 2 |
| C13×#2569 | 2 |
| #10376 | 13 |