Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
122 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 46 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×#14578964 | C2 | semidirect |
| 2. C2×#14578963 | C2 | semidirect |
| 3. #19097838 | C2 | semidirect |
| 4. #19097828 | C2 | semidirect |
| 5. C22⋊#11929441 | C2 | semidirect |
| 6. C4×#11929441 | C2 | semidirect |
| 24. #11929441 | D4 | semidirect |
| 47. Dic157 | M16 | semidirect |
| 55. C157 | #436 | semidirect |