Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
292 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 72 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×C13×C16 | C4 | semidirect |
| 10. C22×#6090 | C4 | semidirect |
| 11. C22⋊#6092 | C4 | semidirect |
| 109. C22×C16 | #261 | semidirect |
| 201. C13 | #7200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| #13130572 | 2 |
| C2×#11718099 | 2 |
| #7200 | 13 |