Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 1. #13131295 | C2 | semidirect |
| 4. #13130165 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 21. C13×#475 | C4 | semidirect |
| 22. #11718755 | C4 | semidirect |
| 23. #11718688 | C4 | semidirect |
| 26. #11718509 | C4 | semidirect |
| 120. C4×#261 | SD16 | semidirect |
| 208. #475 | #261 | semidirect |
| 372. C13 | #9238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131295 | 2 |
| #13130969 | 2 |
| #13130217 | 2 |
| #13130165 | 2 |
| #13129733 | 2 |
| #13129663 | 2 |
| #13124869 | 2 |
| #9238 | 13 |