Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
410 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 18. C13×#500 | C4 | semidirect |
| 19. #11718754 | C4 | semidirect |
| 20. #11718739 | C4 | semidirect |
| 24. #11718342 | C4 | semidirect |
| 157. #500 | #261 | semidirect |
| 283. C13 | #9288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131629 | 2 |
| #13131020 | 2 |
| #13130350 | 2 |
| #13130268 | 2 |
| #13129690 | 2 |
| #13129661 | 2 |
| #13125988 | 2 |
| #9288 | 13 |