Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
134 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 45 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×#14578939 | C2 | semidirect |
| 2. C22×#11929434 | C2 | semidirect |
| 3. #19097745 | C2 | semidirect |
| 4. #19097704 | C2 | semidirect |
| 5. #19097692 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. #121×C157 | C2 | semidirect |
| 27. #11929434 | D4 | semidirect |
| 43. C22×C157 | D8 | semidirect |
| 59. C157 | #466 | semidirect |
| 64. #121 | D157 | semidirect |
| 106. C22 | #14578939 | semidirect |