Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
534 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 101 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. C22×#88069 | C2 | semidirect |
| 3. C2×#11718109 | C2 | semidirect |
| 5. #13115752 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 333. C13 | #13339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88069 | 2 |
| #13125331 | 2 |
| C2×#11718109 | 2 |
| C2×#11718159 | 2 |
| #13115752 | 2 |
| #13112926 | 2 |
| C2×C13×#510 | 2 |
| #13339 | 13 |