Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 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. C2×#14579182 | C2 | semidirect |
| 2. #19099233 | C2 | semidirect |
| 3. #19099216 | C2 | semidirect |
| 4. #19098789 | C2 | semidirect |
| 5. #19098770 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098722 | C2 | semidirect |
| 8. #19098707 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. C8×D316 | C2 | semidirect |
| 11. #492×C79 | C2 | semidirect |
| 57. #11929613 | D4 | semidirect |
| 127. C4×C79 | #135 | semidirect |
| 141. C79 | #3284 | semidirect |
| 145. #492 | D79 | semidirect |
| 272. C4 | #14579182 | semidirect |