Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1170 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1170 conjugacy classes of subgroups — too many to draw. Only its 191 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. #13125957 | C2 | semidirect |
| 3. #13113838 | C2 | semidirect |
| 4. #13113330 | C2 | semidirect |
| 5. #13113160 | C2 | semidirect |
| 6. C13×#2546 | C2 | semidirect |
| 126. #2546 | D13 | semidirect |
| 305. C13 | #18408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128607 | 2 |
| #13125957 | 2 |
| #13113838 | 2 |
| #13113330 | 2 |
| #13113160 | 2 |
| C13×#2546 | 2 |
| #18408 | 13 |