Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 3. #13130591 | C2 | semidirect |
| 4. #13129937 | C2 | semidirect |
| 6. C2×C13×#131 | C4 | semidirect |
| 12. #11718895 | C4 | semidirect |
| 15. #11718779 | C4 | semidirect |
| 17. C2×C8×Dic13 | C4 | semidirect |
| 18. #11718301 | C4 | semidirect |
| 20. #11718295 | C4 | semidirect |
| 138. C2×#131 | #261 | semidirect |
| 251. C13 | #12633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131127 | 2 |
| #13131107 | 2 |
| #13130591 | 2 |
| #13129937 | 2 |
| #13123546 | 2 |
| #12633 | 13 |