Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 12. #11718257 | C4 | semidirect |
| 13. #11718231 | C4 | semidirect |
| 14. C4×C13×C16 | C4 | semidirect |
| 15. #11718094 | C4 | semidirect |
| 16. C4×#6090 | C4 | semidirect |
| 86. C4×C16 | #261 | semidirect |
| 137. C13 | #12593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131043 | 2 |
| #13130492 | 2 |
| #13129876 | 2 |
| C4×#88038 | 2 |
| #12593 | 13 |