Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 2. #13131020 | C2 | semidirect |
| 3. #13130352 | C2 | semidirect |
| 5. #13129690 | C2 | semidirect |
| 6. #13129661 | C2 | semidirect |
| 18. C13×#492 | C4 | semidirect |
| 21. #11718742 | C4 | semidirect |
| 22. #11718737 | C4 | semidirect |
| 24. #11718342 | C4 | semidirect |
| 105. D13⋊C8 | SD16 | semidirect |
| 175. #492 | #261 | semidirect |
| 312. C13 | #9289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131565 | 2 |
| #13131020 | 2 |
| #13130352 | 2 |
| #13130265 | 2 |
| #13129690 | 2 |
| #13129661 | 2 |
| #13125757 | 2 |
| #9289 | 13 |