Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 554 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 |
|---|---|---|
| 2. C2×#11718280 | C2 | semidirect |
| 4. #13130982 | 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 |
| 39. C2×C13×Q16 | C2×C4 | semidirect |
| 51. C2×Dic52 | C2×C4 | semidirect |
| 68. C2×C13×C16 | C2×C4 | semidirect |
| 71. C2×#6090 | C2×C4 | semidirect |
| 159. C2×#261 | SD32 | semidirect |
| 195. C2×SD32 | #261 | semidirect |
| 244. C2×Q16 | C2×#261 | semidirect |
| 270. C2×C16 | C2×#261 | semidirect |
| 345. C13 | #13014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×#261 | 2 |
| C2×#11718280 | 2 |
| C2×#11718276 | 2 |
| #13130982 | 2 |
| #13129894 | 2 |
| (C2×#261)⋊C16 | 2 |
| C2×D13×SD32 | 2 |
| #13014 | 13 |