Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
240 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 240 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. #19098966 | C2 | semidirect |
| 3. #19098765 | C2 | semidirect |
| 4. #19098308 | C2 | semidirect |
| 5. D4⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098290 | C2 | semidirect |
| 7. #474×C79 | C2 | semidirect |
| 98. C79 | #1647 | semidirect |
| 101. #474 | D79 | semidirect |