Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
230 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 10. #11718253 | C4 | semidirect |
| 11. C13×C4⋊C16 | C4 | semidirect |
| 14. C4⋊#6090 | C4 | semidirect |
| 83. C4⋊C16 | #261 | semidirect |
| 145. C13 | #7301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88102 | 2 |
| #13130397 | 2 |
| #13116638 | 2 |
| #7301 | 13 |