Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 1. C2×#11718140 | C2 | semidirect |
| 4. #13115230 | C2 | semidirect |
| 5. #13115050 | C2 | semidirect |
| 6. #13112963 | C2 | semidirect |
| 357. C13 | #13427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718140 | 2 |
| C2×#11718134 | 2 |
| #13115240 | 2 |
| #13115230 | 2 |
| #13115050 | 2 |
| #13112963 | 2 |
| C13×#2731 | 2 |
| #13427 | 13 |