Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
124 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14578937 | C2 | semidirect |
| 2. C22×#11929434 | C2 | semidirect |
| 4. #19097700 | C2 | semidirect |
| 5. #19097683 | C2 | semidirect |
| 6. #19097681 | C2 | semidirect |
| 7. C22⋊C8×C157 | C2 | semidirect |
| 29. #11929434 | D4 | semidirect |
| 39. C22×C157 | M16 | semidirect |
| 55. C157 | #435 | semidirect |
| 62. C22⋊C8 | D157 | semidirect |
| 98. C22 | #14578937 | semidirect |