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. #19097761 | C2 | semidirect |
| 3. #19097756 | C2 | semidirect |
| 4. #19097754 | C2 | semidirect |
| 5. #19097750 | C2 | semidirect |
| 6. #19097749 | C2 | semidirect |
| 8. C4×C22⋊D157 | C2 | semidirect |
| 9. C2×C4⋊C4×C157 | C2 | semidirect |
| 66. C157 | #539 | semidirect |
| 76. C2×C4⋊C4 | D157 | semidirect |