Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929613 | C2 | semidirect |
| 2. #19099134 | C2 | semidirect |
| 4. #19098809 | C2 | semidirect |
| 5. #19098792 | C2 | semidirect |
| 6. #19098601 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 8. #19098569 | C2 | semidirect |
| 9. C2×#131×C79 | C2 | semidirect |
| 20. #14579140 | C22 | semidirect |
| 25. #14579095 | C22 | semidirect |
| 26. #14579093 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 32. C2×M16×C79 | C22 | semidirect |
| 34. C22×C8×C79 | C22 | semidirect |
| 67. C2×C8×C79 | D4 | semidirect |
| 121. C79 | #3057 | semidirect |
| 123. C2×#131 | D79 | semidirect |
| 139. C2×M16 | C2×D79 | semidirect |
| 141. C22×C8 | C2×D79 | semidirect |
| 179. C2×C8 | C22⋊D79 | semidirect |