Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 120 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. C2×#11718217 | C2 | semidirect |
| 4. #13129876 | C2 | semidirect |
| 11. C22×C13×C16 | C4 | semidirect |
| 12. C22×#6090 | C4 | semidirect |
| 14. C2×#88038 | C4 | semidirect |
| 15. C2×#88038 | C4 | semidirect |
| 18. C22⋊#6092 | C4 | semidirect |
| 20. #11718259 | C4 | semidirect |
| 84. C13×C16 | C22⋊C4 | semidirect |
| 86. #6090 | C22⋊C4 | semidirect |
| 128. C22×C16 | #261 | semidirect |
| 138. C22×C13 | #347 | semidirect |
| 222. C16 | C22⋊#261 | semidirect |
| 223. C13 | #12616 | semidirect |
| 261. C22 | #11718217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| C2×#11718217 | 2 |
| #13130572 | 2 |
| #13129876 | 2 |
| C22×#88038 | 2 |
| #12616 | 13 |