Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
326 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 9. C22⋊#6092 | C4 | semidirect |
| 13. C13×C22⋊C16 | C4 | semidirect |
| 14. C22⋊#6090 | C4 | semidirect |
| 124. C22⋊C16 | #261 | semidirect |
| 216. C13 | #7186 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C22⋊C16) | 2 |
| #13130501 | 2 |
| D13×C22⋊C16 | 2 |
| #7186 | 13 |