Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1310 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 1310 conjugacy classes of subgroups — too many to draw. Only its 232 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×#11719054 | C2 | semidirect |
| 2. #13130316 | C2 | direct (N × H) |
| 3. C2×#11718299 | C2 | semidirect |
| 4. C2×#11718293 | C2 | semidirect |
| 19. C2×#88110 | C22 | semidirect |
| 22. #11719054 | C22 | semidirect |
| 23. #11718299 | C22 | semidirect |
| 24. #11718293 | C22 | semidirect |
| 68. #88110 | C23 | semidirect |
| 260. C2×C13 | #1533 | semidirect |
| 320. C13 | C2×#1533 | semidirect |
| 388. C2 | #13130316 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719054 | 2 |
| #13130316 | 2 |
| C2×#11718299 | 2 |
| C2×#11718293 | 2 |
| C2×D13×#124 | 2 |
| C2×#1533 | 13 |