Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13114638 | C2 | semidirect |
| 4. #13112964 | C2 | semidirect |
| 7. C2×#88202 | C4 | semidirect |
| 11. #11718895 | C4 | semidirect |
| 16. #11718585 | C4 | semidirect |
| 17. C2×C4×#1055 | C4 | semidirect |
| 20. #11718140 | C4 | semidirect |
| 21. #11718134 | C4 | semidirect |
| 251. C13 | #12633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123548 | 2 |
| #13116521 | 2 |
| #13114638 | 2 |
| #13112964 | 2 |
| C13×#2126 | 2 |
| #12633 | 13 |