Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19098601 | C2 | semidirect |
| 3. #19098391 | C2 | semidirect |
| 4. #19098389 | C2 | semidirect |
| 5. #19098365 | C2 | semidirect |
| 6. #19098365 | C2 | semidirect |
| 7. C22⋊C16×C79 | C2 | semidirect |
| 70. C79 | #2234 | semidirect |
| 77. C22⋊C16 | D79 | semidirect |