Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
800 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13115814 | C2 | semidirect |
| 2. #13115665 | C2 | semidirect |
| 3. #13113574 | C2 | semidirect |
| 4. #13113571 | C2 | semidirect |
| 6. C13×#562 | C4 | semidirect |
| 128. #562 | Dic13 | semidirect |
| 234. C13 | #8532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115814 | 2 |
| #13115665 | 2 |
| #13113574 | 2 |
| #13113571 | 2 |
| C13×#3548 | 2 |
| #8532 | 13 |