Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11718259 | C2 | semidirect |
| 2. C2×#11718265 | C2 | semidirect |
| 3. #13129822 | C2 | direct (N × H) |
| 6. C22×C13×D8 | C4 | semidirect |
| 13. #11718818 | C4 | semidirect |
| 15. C2×#88058 | C4 | semidirect |
| 17. #11718265 | C22 | semidirect |
| 19. #11718259 | C22 | semidirect |
| 30. C2×C13×D8 | C2×C4 | semidirect |
| 49. #88058 | C2×C4 | semidirect |
| 138. C22×D8 | #261 | semidirect |
| 183. C2×D8 | C2×#261 | semidirect |
| 208. C2×C13 | #1347 | semidirect |
| 258. C13 | C2×#1347 | semidirect |
| 327. C2 | #13129822 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718259 | 2 |
| C2×#11718265 | 2 |
| #13129822 | 2 |
| C2×#11718818 | 2 |
| C2×#1347 | 13 |