Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13112952 | C2 | semidirect |
| 5. #13112950 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C13×#1382 | C2 | semidirect |
| 18. #11718554 | C4 | semidirect |
| 99. #1382 | D13 | semidirect |
| 228. C13 | #12877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123444 | 2 |
| #13116449 | 2 |
| #13114879 | 2 |
| #13112952 | 2 |
| #13112950 | 2 |
| #13112932 | 2 |
| C13×#1382 | 2 |
| #12877 | 13 |