Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13116602 | C2 | semidirect |
| 2. #13116464 | C2 | semidirect |
| 3. #13116447 | C2 | semidirect |
| 4. #13116441 | C2 | semidirect |
| 51. C2×#6090 | D4 | semidirect |
| 229. C13 | #13200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116602 | 2 |
| #13116464 | 2 |
| #13116447 | 2 |
| #13116441 | 2 |
| C13×#2929 | 2 |
| #13200 | 13 |