Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 96 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. #13131002 | C2 | semidirect |
| 4. #13130352 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129705 | C2 | semidirect |
| 21. C13×#477 | C4 | semidirect |
| 22. #11718745 | C4 | semidirect |
| 23. #11718682 | C4 | semidirect |
| 26. #11718503 | C4 | semidirect |
| 154. Q8×C13 | #103 | semidirect |
| 169. D52 | #103 | semidirect |
| 195. #477 | #261 | semidirect |
| 352. C13 | #9317 | semidirect |
| 360. Q8 | #88117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131754 | 2 |
| #13131002 | 2 |
| #13130711 | 2 |
| #13130352 | 2 |
| #13129732 | 2 |
| #13129705 | 2 |
| #13124650 | 2 |
| #9317 | 13 |