Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
108 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 37 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. #19097796 | C2 | semidirect |
| 2. C2×#14578939 | C2 | semidirect |
| 3. #19097778 | C2 | semidirect |
| 4. #19097706 | C2 | semidirect |
| 5. #19097688 | C2 | semidirect |
| 6. #19097687 | C2 | semidirect |
| 7. AGL(1,ℤ/8)×C157 | C2 | semidirect |
| 53. C157 | #472 | semidirect |
| 56. AGL(1,ℤ/8) | D157 | semidirect |