Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
534 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 3. #13130260 | C2 | semidirect |
| 4. #13130259 | C2 | semidirect |
| 5. #13129696 | C2 | semidirect |
| 6. #13129696 | C2 | semidirect |
| 17. C13×#486 | C4 | semidirect |
| 18. #11718749 | C4 | semidirect |
| 19. #11718731 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 34. C13×C4⋊Q8 | C2×C4 | semidirect |
| 48. #88123 | C2×C4 | semidirect |
| 62. C4×C8×C13 | C2×C4 | semidirect |
| 67. C4×#1055 | C2×C4 | semidirect |
| 170. #486 | #261 | semidirect |
| 213. C4⋊Q8 | C2×#261 | semidirect |
| 241. C4×C8 | C2×#261 | semidirect |
| 300. C13 | #9425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131380 | 2 |
| #13130364 | 2 |
| #13130260 | 2 |
| #13130259 | 2 |
| #13129696 | 2 |
| #13125207 | 2 |
| #9425 | 13 |