Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
248 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19097818 | C2 | semidirect |
| 2. #19097802 | C2 | semidirect |
| 3. #19097801 | C2 | semidirect |
| 4. #19097791 | C2 | semidirect |
| 5. C2×#14578944 | C2 | semidirect |
| 6. #19097778 | C2 | semidirect |
| 7. 2−1+4×C157 | C2 | semidirect |
| 52. C157 | #578 | semidirect |
| 55. 2−1+4 | D157 | semidirect |