Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #13116648 | C2 | semidirect |
| 3. #13112876 | C2 | semidirect |
| 4. #13112872 | C2 | semidirect |
| 5. C13×#2165 | C2 | semidirect |
| 17. C13×#364 | C22 | semidirect |
| 22. #11718055 | C22 | semidirect |
| 97. #2165 | D13 | semidirect |
| 145. #364 | C2×D13 | semidirect |
| 243. C13 | #11992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125288 | 2 |
| #13116648 | 2 |
| #13112876 | 2 |
| #13112872 | 2 |
| C13×#2165 | 2 |
| #11992 | 13 |