Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
130 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#14578938 | C2 | semidirect |
| 3. #19097745 | C2 | semidirect |
| 4. #19097702 | C2 | semidirect |
| 5. #19097692 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. #121×C157 | C2 | semidirect |
| 27. #11929434 | D4 | semidirect |
| 59. C157 | #469 | semidirect |
| 64. #121 | D157 | semidirect |