Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
526 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 96 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×Q16×#261 | C2 | semidirect |
| 2. C2×#11718280 | C2 | semidirect |
| 5. #13129894 | C2 | semidirect |
| 6. (C2×#261)⋊C16 | C2 | semidirect |
| 20. C2×C13×SD32 | C4 | semidirect |
| 21. C2×#88068 | C4 | semidirect |
| 22. C2×#88067 | C4 | semidirect |
| 25. C2×#88040 | C4 | semidirect |
| 111. C13×Q16 | C22⋊C4 | semidirect |
| 121. Dic52 | C22⋊C4 | semidirect |
| 158. C2×#261 | SD32 | semidirect |
| 194. C2×SD32 | #261 | semidirect |
| 315. Q16 | C22⋊#261 | semidirect |
| 344. C13 | #13013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×#261 | 2 |
| C2×#11718280 | 2 |
| C2×#11718276 | 2 |
| #13130983 | 2 |
| #13129894 | 2 |
| (C2×#261)⋊C16 | 2 |
| C2×D13×SD32 | 2 |
| #13013 | 13 |