Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 2. #19097736 | C2 | semidirect |
| 3. #19097733 | C2 | semidirect |
| 4. #19097731 | C2 | semidirect |
| 5. #19097728 | C2 | semidirect |
| 6. C2×C4×Dic157 | C2 | semidirect |
| 7. C42×D157 | C2 | semidirect |
| 8. #117×C157 | C2 | semidirect |
| 9. #14578954 | C4 | semidirect |
| 27. Dic314 | C2×C4 | semidirect |
| 28. D628 | C2×C4 | semidirect |
| 29. C22⋊D157 | C2×C4 | semidirect |
| 35. C4×D157 | C2×C4 | semidirect |
| 37. C2×C4×C157 | C2×C4 | semidirect |
| 51. Dic157 | #41 | semidirect |
| 56. C157 | C4×#41 | semidirect |
| 63. #117 | D157 | semidirect |
| 94. C2×C4 | C4×D157 | semidirect |