Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131595 | C2 | semidirect |
| 2. #13131158 | C2 | semidirect |
| 3. #13131145 | C2 | semidirect |
| 4. #13130995 | C2 | semidirect |
| 5. #13129904 | C2 | semidirect |
| 6. #13129885 | C2 | semidirect |
| 20. C2×C13×SD32 | C4 | semidirect |
| 21. C2×#88068 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×D208 | C4 | semidirect |
| 38. C2×C13×Q16 | C2×C4 | semidirect |
| 51. C2×D104 | C2×C4 | semidirect |
| 66. C2×C13×C16 | C2×C4 | semidirect |
| 69. C2×#6090 | C2×C4 | semidirect |
| 176. C2×SD32 | #261 | semidirect |
| 217. C2×Q16 | C2×#261 | semidirect |
| 245. C2×C16 | C2×#261 | semidirect |
| 314. C13 | #13033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131595 | 2 |
| #13131158 | 2 |
| #13131145 | 2 |
| #13130995 | 2 |
| #13129904 | 2 |
| #13129885 | 2 |
| C2×#11718575 | 2 |
| #13033 | 13 |