Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14519824 | C2 | semidirect |
| 2. #14519807 | C2 | semidirect |
| 3. #14519803 | C2 | semidirect |
| 4. #14519797 | C2 | semidirect |
| 5. C2×#11758200 | C2 | semidirect |
| 6. #14519784 | C2 | semidirect |
| 7. H(5,𝔽2)×C61 | C2 | semidirect |
| 15. #11758222 | C22 | semidirect |
| 16. C2×Dic122 | C22 | semidirect |
| 17. #11758202 | C22 | semidirect |
| 18. #11758201 | C22 | semidirect |
| 19. #11758200 | C22 | semidirect |
| 20. #11758200 | C22 | semidirect |
| 21. #11758199 | C22 | semidirect |
| 22. #11758194 | C22 | semidirect |
| 23. C2×#92418 | C22 | semidirect |
| 54. C61 | #577 | semidirect |
| 56. H(5,𝔽2) | D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14519824 | 2 |
| #14519807 | 2 |
| #14519803 | 2 |
| #14519797 | 2 |
| C2×#11758200 | 2 |
| #14519784 | 2 |
| H(5,𝔽2)×C61 | 2 |
| #577 | 61 |