Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 124 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. C23×#6092 | C2 | semidirect |
| 2. C2×#11718270 | C2 | semidirect |
| 3. #13131063 | C2 | semidirect |
| 4. #13129891 | C2 | semidirect |
| 47. C2×#6092 | D4 | semidirect |
| 144. C22×C13 | #350 | semidirect |
| 230. C13 | #12983 | semidirect |
| 265. C22 | #11718270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6092 | 2 |
| C2×#11718270 | 2 |
| #13131063 | 2 |
| #13129891 | 2 |
| #13123526 | 2 |
| #12983 | 13 |