Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
614 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 138 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. C8×C22⋊#261 | C2 | semidirect |
| 4. #13129678 | C2 | semidirect |
| 6. C22×C8×D13 | C4 | semidirect |
| 13. C2×C13×C4⋊C8 | C4 | semidirect |
| 14. C2×#88060 | C4 | semidirect |
| 16. C2×C4×#1055 | C4 | semidirect |
| 20. #11718287 | C4 | semidirect |
| 21. #11718285 | C4 | semidirect |
| 48. #88107 | C8 | semidirect |
| 76. C22⋊#261 | C2×C8 | semidirect |
| 112. C22×D13 | C4×C8 | semidirect |
| 125. C2×C4×C13 | C4×C8 | semidirect |
| 144. #1055 | #99 | semidirect |
| 150. C2×C4⋊C8 | #261 | semidirect |
| 268. C13 | C8×#99 | semidirect |
| 300. C2×C4 | C8×#261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88107 | 2 |
| C8×C22⋊#261 | 2 |
| #13130073 | 2 |
| #13129678 | 2 |
| C2×#11718495 | 2 |
| C8×#99 | 13 |