Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
298 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 111 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×#11758222 | C2 | semidirect |
| 2. #14519803 | C2 | direct (N × H) |
| 3. C2×#11758200 | C2 | semidirect |
| 4. C2×#11758199 | C2 | semidirect |
| 5. C2×#11758194 | C2 | semidirect |
| 6. C22×D4×C61 | C2 | semidirect |
| 11. C2×D4×C61 | C22 | semidirect |
| 15. #11758222 | C22 | semidirect |
| 16. C2×D244 | C22 | semidirect |
| 18. C2×Dic122 | C22 | semidirect |
| 19. #11758200 | C22 | semidirect |
| 20. #11758199 | C22 | semidirect |
| 21. #11758194 | C22 | semidirect |
| 22. C2×#92418 | C22 | semidirect |
| 38. D244 | C23 | semidirect |
| 41. Dic122 | C23 | semidirect |
| 42. #92418 | C23 | semidirect |
| 57. C2×C61 | AGL(1,ℤ/8) | semidirect |
| 61. C61 | C2×AGL(1,ℤ/8) | semidirect |
| 63. C22×D4 | D61 | semidirect |
| 77. C2×D4 | C2×D61 | semidirect |
| 119. C2 | #14519803 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758222 | 2 |
| #14519803 | 2 |
| C2×#11758200 | 2 |
| C2×#11758199 | 2 |
| C2×#11758194 | 2 |
| C22×D4×C61 | 2 |
| C2×AGL(1,ℤ/8) | 61 |