Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
590 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 148 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. #13130957 | C2 | semidirect |
| 2. C2×#11718253 | C2 | semidirect |
| 3. C2×D4⋊#1057 | C2 | semidirect |
| 4. C2×#11718251 | C2 | semidirect |
| 27. C2×C13×D8 | C8 | semidirect |
| 120. C8×C13 | C22⋊C8 | semidirect |
| 159. C2×D8 | #1057 | semidirect |
| 225. C13 | #9659 | semidirect |
| 257. C8 | C22⋊#1057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130957 | 2 |
| C2×#11718253 | 2 |
| C2×D4⋊#1057 | 2 |
| C2×#11718251 | 2 |
| C2×D8×Dic13 | 2 |
| #9659 | 13 |