Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 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×#14578955 | C2 | semidirect |
| 2. C2×#14578953 | C2 | semidirect |
| 3. #19097792 | C2 | direct (N × H) |
| 4. C2×#14578944 | C2 | semidirect |
| 5. C2×#14578943 | C2 | semidirect |
| 6. C2×#14578939 | C2 | semidirect |
| 7. C2×C8×D157 | C2 | semidirect |
| 8. C2×SD16×C157 | C2 | semidirect |
| 10. #14578955 | C22 | semidirect |
| 12. #14578953 | C22 | semidirect |
| 20. #14578944 | C22 | semidirect |
| 21. #14578943 | C22 | semidirect |
| 22. #14578939 | C22 | semidirect |
| 24. C8×D157 | C22 | semidirect |
| 27. SD16×C157 | C22 | semidirect |
| 65. C2×C157 | #135 | semidirect |
| 69. C157 | C2×#135 | semidirect |
| 76. C2×SD16 | D157 | semidirect |
| 94. SD16 | C2×D157 | semidirect |
| 137. C2 | #19097792 | direct (N × H) |