Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13113494 | C2 | semidirect |
| 4. #13113334 | C2 | semidirect |
| 6. #13112667 | C2 | semidirect |
| 7. C13×#1940 | C2 | semidirect |
| 123. #1940 | D13 | semidirect |
| 309. C13 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125182 | 2 |
| #13113494 | 2 |
| #13113486 | 2 |
| #13113334 | 2 |
| #13113330 | 2 |
| #13112667 | 2 |
| C13×#1940 | 2 |
| #10547 | 13 |