Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
590 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 590 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×D8×#261 | C2 | semidirect |
| 2. C2×#11718276 | C2 | semidirect |
| 3. C2×#11718276 | C2 | semidirect |
| 4. #13130983 | C2 | semidirect |
| 5. #13129894 | C2 | semidirect |
| 6. (C2×#261)⋊C16 | C2 | semidirect |
| 20. C2×C13×D16 | C4 | semidirect |
| 21. C2×#88066 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×D208 | C4 | semidirect |
| 42. C2×C13×D8 | C2×C4 | semidirect |
| 54. C2×D104 | C2×C4 | semidirect |
| 68. C2×C13×C16 | C2×C4 | semidirect |
| 71. C2×#6090 | C2×C4 | semidirect |
| 115. C13×D8 | C22⋊C4 | semidirect |
| 125. D104 | C22⋊C4 | semidirect |
| 169. C2×#261 | D16 | semidirect |
| 201. C2×D16 | #261 | semidirect |
| 265. C2×D8 | C2×#261 | semidirect |
| 286. C2×C16 | C2×#261 | semidirect |
| 341. D8 | C22⋊#261 | semidirect |
| 363. C13 | #13012 | 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×#11718276 | 2 |
| #13130983 | 2 |
| #13129894 | 2 |
| (C2×#261)⋊C16 | 2 |
| C2×D13×D16 | 2 |
| #13012 | 13 |