Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
602 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 114 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. #13130752 | C2 | semidirect |
| 2. C4×#88112 | C2 | semidirect |
| 3. C2×#11718303 | C2 | semidirect |
| 335. C13 | #9699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130752 | 2 |
| C4×#88112 | 2 |
| C2×#11718303 | 2 |
| C2×#11718297 | 2 |
| #13123191 | 2 |
| #9699 | 13 |