Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
202 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 63 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. C2×C8×D157 | C2 | semidirect |
| 3. C4⋊C4×D157 | C2 | semidirect |
| 4. #19097693 | C2 | semidirect |
| 5. #19097692 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. #102×C157 | C2 | semidirect |
| 12. D4×D157 | C4 | semidirect |
| 15. C2×#11929434 | C22 | semidirect |
| 17. C4⋊Dic157 | C22 | semidirect |
| 20. C2×C8×C157 | C22 | semidirect |
| 21. C4⋊C4×C157 | C22 | semidirect |
| 28. D628 | C2×C4 | semidirect |
| 38. D4×C157 | C2×C4 | semidirect |
| 63. D157 | #102 | direct (N × H) |
| 64. C157 | C2×#102 | semidirect |
| 72. #102 | D157 | direct (N × H) |
| 83. C2×C8 | C2×D157 | semidirect |
| 86. C4⋊C4 | C2×D157 | semidirect |
| 97. D4 | C4×D157 | semidirect |