Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
222 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19097769 | C2 | semidirect |
| 3. #19097761 | C2 | semidirect |
| 7. C4×Dic314 | C2 | semidirect |
| 8. C4×Dic314 | C2 | semidirect |
| 11. C4×Q8×C157 | C2 | semidirect |
| 45. C4×D157 | Q8 | semidirect |
| 70. C157 | #533 | semidirect |
| 80. C4×Q8 | D157 | semidirect |