Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19097766 | C2 | semidirect |
| 2. #19097762 | C2 | semidirect |
| 3. #19097756 | C2 | semidirect |
| 4. #19097755 | C2 | semidirect |
| 5. #19097747 | C2 | semidirect |
| 7. #19097731 | C2 | semidirect |
| 8. C2×#14578933 | C2 | semidirect |
| 9. C22⋊Q8×C157 | C2 | semidirect |
| 66. C157 | #539 | semidirect |
| 73. C22⋊Q8 | D157 | semidirect |