Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
186 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 53 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. M16×D157 | C2 | semidirect |
| 3. #19097688 | C2 | semidirect |
| 4. #19097687 | C2 | semidirect |
| 5. #100×C157 | C2 | semidirect |
| 12. #14578938 | C22 | semidirect |
| 16. M16×C157 | C22 | semidirect |
| 49. D157 | #100 | direct (N × H) |
| 50. C157 | C2×#100 | semidirect |
| 56. #100 | D157 | direct (N × H) |
| 66. M16 | C2×D157 | semidirect |