Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 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×#14578942 | C2 | semidirect |
| 2. C2×#14578938 | C2 | semidirect |
| 3. #19097750 | C2 | semidirect |
| 4. #19097704 | C2 | semidirect |
| 5. #19097694 | C2 | semidirect |
| 6. #19097692 | C2 | semidirect |
| 26. #11929434 | D4 | semidirect |
| 55. C157 | #468 | semidirect |