Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
594 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 594 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. #13131024 | C2 | semidirect |
| 4. #13130268 | C2 | semidirect |
| 5. #13129690 | C2 | semidirect |
| 6. #13129659 | C2 | semidirect |
| 18. C13×#492 | C4 | semidirect |
| 21. #11718746 | C4 | semidirect |
| 22. #11718731 | C4 | semidirect |
| 23. #11718355 | C4 | semidirect |
| 43. C13×C4⋊Q8 | C2×C4 | semidirect |
| 57. #88123 | C2×C4 | semidirect |
| 67. C4×C8×C13 | C2×C4 | semidirect |
| 72. C4×#1055 | C2×C4 | semidirect |
| 111. C4×#261 | SD16 | semidirect |
| 192. #492 | #261 | semidirect |
| 245. C4⋊Q8 | C2×#261 | semidirect |
| 276. C4×C8 | C2×#261 | semidirect |
| 344. C13 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131328 | 2 |
| #13131024 | 2 |
| #13130344 | 2 |
| #13130268 | 2 |
| #13129690 | 2 |
| #13129659 | 2 |
| #13125773 | 2 |
| #9295 | 13 |