Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
124 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 48 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×#14578963 | C2 | semidirect |
| 2. C22×#11929441 | C2 | semidirect |
| 3. #19097838 | C2 | semidirect |
| 4. C22⋊#11929441 | C2 | semidirect |
| 5. C22⋊#11929441 | C2 | semidirect |
| 6. #19097826 | C2 | semidirect |
| 24. #11929441 | D4 | semidirect |
| 42. C22×C157 | M16 | semidirect |
| 55. C157 | #435 | semidirect |
| 98. C22 | #14578963 | semidirect |