Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
158 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 52 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. #19097828 | C2 | semidirect |
| 4. C22⋊#11929441 | C2 | semidirect |
| 55. C157 | #408 | semidirect |