Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
184 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #19098763 | C2 | semidirect |
| 3. #19098314 | C2 | semidirect |
| 4. #19098306 | C2 | semidirect |
| 5. #446×C79 | C2 | semidirect |
| 46. C8×C79 | SD16 | semidirect |
| 63. C79 | #1688 | semidirect |
| 66. #446 | D79 | semidirect |
| 110. C8 | #11929611 | semidirect |