Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 650 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. #13131275 | C2 | semidirect |
| 2. #13130999 | C2 | semidirect |
| 3. #13130227 | C2 | semidirect |
| 4. #13130176 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 20. C13×#476 | C4 | semidirect |
| 21. #11718745 | C4 | semidirect |
| 22. #11718676 | C4 | semidirect |
| 25. #11718504 | C4 | semidirect |
| 45. C13×C4⋊Q8 | C2×C4 | semidirect |
| 60. #88128 | C2×C4 | semidirect |
| 75. C13×C4⋊C8 | C2×C4 | semidirect |
| 83. C4⋊#1055 | C2×C4 | semidirect |
| 171. D4×C13 | #104 | semidirect |
| 191. D52 | #104 | semidirect |
| 210. #476 | #261 | semidirect |
| 266. C4⋊Q8 | C2×#261 | semidirect |
| 293. C4⋊C8 | C2×#261 | semidirect |
| 377. C13 | #9325 | semidirect |
| 397. D4 | #88118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131275 | 2 |
| #13130999 | 2 |
| #13130227 | 2 |
| #13130176 | 2 |
| #13129723 | 2 |
| #13129688 | 2 |
| #13124929 | 2 |
| #9325 | 13 |