Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13115698 | C2 | semidirect |
| 5. #13112946 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C2×C13×#362 | C2 | semidirect |
| 17. #11718840 | C4 | semidirect |
| 122. C2×#362 | D13 | semidirect |
| 296. C13 | #13028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| C2×#11718556 | 2 |
| #13116549 | 2 |
| #13115698 | 2 |
| #13112946 | 2 |
| #13112917 | 2 |
| C2×C13×#362 | 2 |
| #13028 | 13 |