Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #13112694 | C2 | semidirect |
| 4. #13112669 | C2 | semidirect |
| 5. C13×#2859 | C2 | semidirect |
| 74. #2859 | D13 | semidirect |
| 196. C13 | #10364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115664 | 2 |
| #13113395 | 2 |
| #13112694 | 2 |
| #13112669 | 2 |
| C13×#2859 | 2 |
| #10364 | 13 |