Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19098849 | C2 | semidirect |
| 4. #19098693 | C2 | semidirect |
| 5. #19098308 | C2 | semidirect |
| 7. #335×C79 | C2 | semidirect |
| 61. C8×C79 | SD16 | semidirect |
| 80. C79 | #1686 | semidirect |
| 85. #335 | D79 | semidirect |
| 142. C8 | #11929613 | semidirect |