Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099234 | C2 | semidirect |
| 2. #19098940 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098758 | C2 | semidirect |
| 5. #19098757 | C2 | semidirect |
| 6. C8×Dic158 | C2 | semidirect |
| 7. #19098645 | C2 | semidirect |
| 8. C4×D8×C79 | C2 | semidirect |
| 70. Dic158 | D8 | semidirect |
| 72. C8×C79 | #41 | semidirect |
| 94. C79 | #3391 | semidirect |
| 102. C4×D8 | D79 | semidirect |
| 167. C8 | #11929624 | semidirect |