Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1038 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 1038 conjugacy classes of subgroups — too many to draw. Only its 152 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. C2×#11718263 | C2 | semidirect |
| 2. #13131063 | C2 | semidirect |
| 11. C2×#88106 | C22 | semidirect |
| 128. C22×C13 | #349 | semidirect |
| 209. C13 | #12681 | semidirect |
| 252. C22 | #11718263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718263 | 2 |
| #13131063 | 2 |
| C23×#6094 | 2 |
| #12681 | 13 |