Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 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. C4×Dic314 | C2 | semidirect |
| 4. #19097705 | C2 | semidirect |
| 5. #19097696 | C2 | semidirect |
| 7. #97×C157 | C2 | semidirect |
| 11. #14578943 | C4 | semidirect |
| 22. Dic314 | C2×C4 | semidirect |
| 33. C8×C157 | C2×C4 | semidirect |
| 49. C157 | #440 | semidirect |
| 57. #97 | D157 | semidirect |
| 83. C8 | C4×D157 | semidirect |