Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
580 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 580 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 |
|---|---|---|
| 1. #13131752 | C2 | semidirect |
| 2. #13131003 | C2 | semidirect |
| 3. #13130710 | C2 | semidirect |
| 4. #13130344 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129705 | C2 | semidirect |
| 22. C13×#459 | C4 | semidirect |
| 24. #11718736 | C4 | semidirect |
| 25. #11718676 | C4 | semidirect |
| 26. #11718509 | C4 | semidirect |
| 174. D4×C13 | #102 | semidirect |
| 208. Dic26 | #102 | semidirect |
| 223. #459 | #261 | semidirect |
| 394. C13 | #9318 | semidirect |
| 421. D4 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131752 | 2 |
| #13131003 | 2 |
| #13130710 | 2 |
| #13130344 | 2 |
| #13129732 | 2 |
| #13129705 | 2 |
| #13124311 | 2 |
| #9318 | 13 |