Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
214 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19097761 | C2 | semidirect |
| 5. #19097751 | C2 | semidirect |
| 6. #19097750 | C2 | semidirect |
| 7. #19097736 | C2 | semidirect |
| 9. #19097730 | C2 | semidirect |
| 10. #19097729 | C2 | semidirect |
| 11. C2×C4⋊C4×C157 | C2 | semidirect |
| 72. C157 | #552 | semidirect |
| 84. C2×C4⋊C4 | D157 | semidirect |