Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
1160 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 210 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. C22×C22⋊#3866 | C2 | semidirect |
| 2. #14558481 | C2 | semidirect |
| 3. #14558476 | C2 | semidirect |
| 4. #14558474 | C2 | semidirect |
| 6. C23×#3866 | C22 | semidirect |
| 9. C2×C22⋊#3866 | C22 | semidirect |
| 10. C2×C22⋊#3866 | C22 | semidirect |
| 11. (C2×#3866)⋊C4 | C22 | semidirect |
| 14. C22×D148 | C4 | semidirect |
| 15. C22×C22⋊D37 | C4 | semidirect |
| 16. C22×C22⋊D37 | C4 | semidirect |
| 18. C2×D4×D37 | C4 | semidirect |
| 21. C22×D4×C37 | C4 | semidirect |
| 23. C24×C37 | C2×C4 | semidirect |
| 29. C23×D37 | C2×C4 | semidirect |
| 30. C23×D37 | C2×C4 | semidirect |
| 39. C2×D4×C37 | C2×C4 | semidirect |
| 40. C22×C4×C37 | C2×C4 | semidirect |
| 43. C2×C22⋊D37 | C2×C4 | semidirect |
| 44. C2×C22⋊D37 | C2×C4 | semidirect |
| 45. C22×Dic37 | C2×C4 | semidirect |
| 50. C2×D148 | C2×C4 | semidirect |
| 52. C2×C4×D37 | C2×C4 | semidirect |
| 60. C23×C37 | C22⋊C4 | semidirect |
| 76. C22×D37 | C22⋊C4 | semidirect |
| 77. C22×D37 | C22⋊C4 | semidirect |
| 141. C37 | #2308 | semidirect |
| 150. C22×D4 | #3866 | semidirect |
| 170. C24 | C2×#3866 | semidirect |
| 181. C2×D4 | C2×#3866 | semidirect |
| 189. C22×C4 | C2×#3866 | semidirect |
| 217. C23 | C22⋊#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊#3866 | 2 |
| #14558481 | 2 |
| #14558476 | 2 |
| #14558474 | 2 |
| C22×D4×D37 | 2 |
| #2308 | 37 |