Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
198 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19098968 | C2 | semidirect |
| 2. #19098961 | C2 | semidirect |
| 5. #19098914 | C2 | semidirect |
| 7. #322×C79 | C2 | semidirect |
| 54. C8×C79 | SD16 | semidirect |
| 70. C79 | #1714 | semidirect |
| 77. #322 | D79 | semidirect |
| 124. C8 | #11929613 | semidirect |