Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
216 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 216 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. #19097770 | C2 | semidirect |
| 2. #19097766 | C2 | semidirect |
| 3. #19097760 | C2 | semidirect |
| 4. #19097757 | C2 | semidirect |
| 5. #19097753 | C2 | semidirect |
| 6. #19097751 | C2 | semidirect |
| 8. Q8×Dic157 | C2 | semidirect |
| 9. #19097733 | C2 | semidirect |
| 10. #19097730 | C2 | semidirect |
| 11. C22⋊Q8×C157 | C2 | semidirect |
| 73. C157 | #542 | semidirect |
| 81. C22⋊Q8 | D157 | semidirect |