Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1038 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 1038 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 2. C2×#11718106 | C2 | semidirect |
| 3. #13116447 | C2 | semidirect |
| 4. C13×#2112 | C2 | semidirect |
| 13. C2×C13×M32 | C22 | semidirect |
| 14. C2×#88052 | C22 | semidirect |
| 94. #2112 | D13 | semidirect |
| 138. C2×M32 | C2×D13 | semidirect |
| 146. C22×C13 | #349 | semidirect |
| 236. C13 | #12681 | semidirect |
| 280. C22 | #11718106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6094 | 2 |
| C2×#11718106 | 2 |
| #13116447 | 2 |
| C13×#2112 | 2 |
| #12681 | 13 |