Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 3. C2×#11718053 | C2 | semidirect |
| 5. #13112931 | C2 | semidirect |
| 6. #13112929 | C2 | semidirect |
| 7. C13×#1945 | C2 | semidirect |
| 20. #11718084 | C4 | semidirect |
| 21. #11718083 | C4 | semidirect |
| 97. #1945 | D13 | semidirect |
| 229. C13 | #13152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718089 | 2 |
| #13116541 | 2 |
| C2×#11718053 | 2 |
| #13115724 | 2 |
| #13112931 | 2 |
| #13112929 | 2 |
| C13×#1945 | 2 |
| #13152 | 13 |