Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 8. C22×Dic52 | C4 | semidirect |
| 17. C2×#88058 | C4 | semidirect |
| 18. C2×#88056 | C4 | semidirect |
| 262. C13 | #9817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718777 | 2 |
| #13114612 | 2 |
| #13113357 | 2 |
| #13113201 | 2 |
| C13×#1810 | 2 |
| #9817 | 13 |