Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 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. #19098995 | C2 | semidirect |
| 2. #19098403 | C2 | semidirect |
| 3. #19098401 | C2 | semidirect |
| 4. #19098400 | C2 | semidirect |
| 5. #19098398 | C2 | semidirect |
| 6. C2×C79⋊C32 | C2 | semidirect |
| 7. #508×C79 | C2 | semidirect |
| 53. C79 | #2262 | semidirect |
| 55. #508 | D79 | semidirect |