Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2062 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 2062 conjugacy classes of subgroups — too many to draw. Only its 291 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. C22×#88074 | C2 | semidirect |
| 3. C2×#11718066 | C2 | direct (N × H) |
| 4. C22×C13×#99 | C2 | semidirect |
| 8. C23×D52 | C4 | semidirect |
| 13. C2×#88194 | C4 | semidirect |
| 15. C22×C4×Dic13 | C4 | semidirect |
| 17. C2×C13×#99 | C22 | semidirect |
| 19. C2×#88074 | C22 | semidirect |
| 20. #11718066 | C22 | direct (N × H) |
| 43. C22×D52 | C2×C4 | semidirect |
| 51. #88194 | C2×C4 | semidirect |
| 54. C2×C4×Dic13 | C2×C4 | semidirect |
| 56. C13×#99 | C23 | semidirect |
| 58. #88074 | C23 | semidirect |
| 112. C2×D52 | C22×C4 | semidirect |
| 118. C4×Dic13 | C22×C4 | semidirect |
| 121. C22×#99 | D13 | semidirect |
| 191. C2×#99 | C2×D13 | semidirect |
| 211. C22×C13 | #353 | semidirect |
| 262. #99 | C22×D13 | semidirect |
| 269. C2×C13 | C2×#353 | semidirect |
| 331. C13 | C22×#353 | semidirect |
| 409. C22 | #11718066 | direct (N × H) |
| 425. C2 | C2×#11718066 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88194 | 2 |
| C22×#88074 | 2 |
| C2×#11718066 | 2 |
| C22×C13×#99 | 2 |
| C22×#353 | 13 |