Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13125756 | C2 | semidirect |
| 2. #13125751 | C2 | semidirect |
| 3. #13125281 | C2 | semidirect |
| 4. #13115659 | C2 | semidirect |
| 5. #13113395 | C2 | semidirect |
| 6. #13112680 | C2 | semidirect |
| 7. C13×#1517 | C2 | semidirect |
| 132. C2×#1055 | D8 | semidirect |
| 139. #1517 | D13 | semidirect |
| 345. C13 | #10218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13125751 | 2 |
| #13125281 | 2 |
| #13115659 | 2 |
| #13113395 | 2 |
| #13112680 | 2 |
| C13×#1517 | 2 |
| #10218 | 13 |