Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 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. #13113527 | C2 | semidirect |
| 5. #13113238 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#1950 | C2 | semidirect |
| 112. #1950 | D13 | semidirect |
| 286. C13 | #10553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125211 | 2 |
| #13113527 | 2 |
| #13113505 | 2 |
| C2×#11718077 | 2 |
| #13113238 | 2 |
| #13112687 | 2 |
| C13×#1950 | 2 |
| #10553 | 13 |