Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131356 | C2 | semidirect |
| 4. #13130139 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129691 | C2 | semidirect |
| 20. C13×#462 | C4 | semidirect |
| 22. #11718751 | C4 | semidirect |
| 23. #11718688 | C4 | semidirect |
| 24. #11718509 | C4 | semidirect |
| 208. #462 | #261 | semidirect |
| 367. C13 | #9182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131356 | 2 |
| #13130267 | 2 |
| #13130217 | 2 |
| #13130139 | 2 |
| #13129732 | 2 |
| #13129691 | 2 |
| #13124309 | 2 |
| #9182 | 13 |