Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
428 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 80 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. #13130719 | C2 | semidirect |
| 3. #13129925 | C2 | semidirect |
| 5. C2×#88161 | C4 | semidirect |
| 10. C13×#423 | C4 | semidirect |
| 11. #11718790 | C4 | semidirect |
| 13. C2×C4×#1055 | C4 | semidirect |
| 131. #423 | #261 | semidirect |
| 230. C13 | #12807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131109 | 2 |
| #13130719 | 2 |
| #13129925 | 2 |
| #13123547 | 2 |
| #12807 | 13 |