Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#14579126 | C2 | semidirect |
| 4. #19098662 | C2 | direct (N × H) |
| 5. C2×#14579084 | C2 | semidirect |
| 7. C2×#14579071 | C2 | semidirect |
| 8. C2×#107×C79 | C2 | semidirect |
| 12. C2×#11929613 | C4 | semidirect |
| 16. #14579126 | C22 | semidirect |
| 23. #14579084 | C22 | semidirect |
| 25. #14579071 | C22 | semidirect |
| 29. #107×C79 | C22 | semidirect |
| 33. C2×Dic158 | C2×C4 | semidirect |
| 44. #11929613 | C2×C4 | semidirect |
| 55. C2×C8×C79 | C2×C4 | semidirect |
| 86. Dic158 | C22×C4 | semidirect |
| 87. C8×C79 | C22×C4 | semidirect |
| 105. C2×C79 | #440 | semidirect |
| 111. C79 | C2×#440 | semidirect |
| 116. C2×#107 | D79 | semidirect |
| 137. #107 | C2×D79 | semidirect |
| 161. C2×C8 | C4×D79 | semidirect |
| 199. C8 | C2×C4×D79 | semidirect |
| 217. C2 | #19098662 | direct (N × H) |