Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
280 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×Q8×D157 | C2 | semidirect |
| 2. #19097769 | C2 | semidirect |
| 3. #19097750 | C2 | semidirect |
| 4. #19097747 | C2 | semidirect |
| 5. Q8×Dic157 | C2 | semidirect |
| 7. C22×Q8×C157 | C2 | semidirect |
| 24. C22⋊D157 | Q8 | direct (N × H) |
| 31. Q8×C157 | D4 | semidirect |
| 37. C22×C157 | C2×Q8 | semidirect |
| 41. C2×D157 | C2×Q8 | semidirect |
| 46. Dic157 | C2×Q8 | semidirect |
| 52. C157 | D4×Q8 | semidirect |
| 55. C22×Q8 | D157 | semidirect |
| 79. Q8 | C22⋊D157 | direct (N × H) |
| 93. C22 | Q8×D157 | semidirect |