Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14578943 | C2 | semidirect |
| 2. C2×C8×D157 | C2 | semidirect |
| 3. #19097751 | C2 | semidirect |
| 5. #19097694 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. #106×C157 | C2 | semidirect |
| 36. C8×C157 | D4 | semidirect |
| 43. C2×D157 | SD16 | semidirect |
| 55. C157 | #465 | semidirect |
| 61. #106 | D157 | semidirect |
| 92. C8 | D628 | semidirect |