Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19099108 | C2 | semidirect |
| 2. #19098960 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098816 | C2 | semidirect |
| 6. #19098814 | C2 | semidirect |
| 7. #19098675 | C2 | semidirect |
| 8. #19098674 | C2 | semidirect |
| 9. #19098672 | C2 | semidirect |
| 10. M16×Dic79 | C2 | semidirect |
| 11. #469×C79 | C2 | semidirect |
| 94. C8×C79 | #41 | semidirect |
| 96. C79⋊C8 | #41 | semidirect |
| 119. C79 | #3184 | semidirect |
| 126. #469 | D79 | semidirect |
| 215. C8 | #11929623 | semidirect |