Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
948 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 948 conjugacy classes of subgroups — too many to draw. Only its 114 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. C2×#11718279 | C2 | semidirect |
| 2. #13131064 | C2 | semidirect |
| 3. #13130712 | C2 | semidirect |
| 6. C22×C13×Q16 | C4 | semidirect |
| 11. C2×#88173 | C4 | semidirect |
| 13. C22×D104 | C4 | semidirect |
| 16. C2×#88101 | C22 | semidirect |
| 17. C2×#88098 | C22 | semidirect |
| 99. C13×Q16 | C22⋊C4 | semidirect |
| 110. D104 | C22⋊C4 | semidirect |
| 168. C22×Q16 | #261 | semidirect |
| 181. C22×C13 | #360 | semidirect |
| 281. Q16 | C22⋊#261 | semidirect |
| 301. C13 | #12735 | semidirect |
| 357. C22 | #11718279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718279 | 2 |
| #13131064 | 2 |
| #13130712 | 2 |
| C22×#88173 | 2 |
| #12735 | 13 |