Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
544 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic158 | C2 | semidirect |
| 4. #19098665 | C2 | direct (N × H) |
| 5. C2×#14579095 | C2 | semidirect |
| 6. C2×#14579086 | C2 | semidirect |
| 8. C2×#97×C79 | C2 | semidirect |
| 12. C2×#11929613 | C4 | semidirect |
| 15. C4×Dic158 | C22 | semidirect |
| 23. #14579095 | C22 | semidirect |
| 24. #14579086 | C22 | semidirect |
| 29. #97×C79 | C22 | semidirect |
| 33. C2×Dic158 | C2×C4 | semidirect |
| 44. #11929613 | C2×C4 | semidirect |
| 56. C2×C8×C79 | C2×C4 | semidirect |
| 86. Dic158 | C22×C4 | semidirect |
| 88. C8×C79 | C22×C4 | semidirect |
| 105. C2×C79 | #440 | semidirect |
| 111. C79 | C2×#440 | semidirect |
| 119. C2×#97 | D79 | semidirect |
| 140. #97 | C2×D79 | semidirect |
| 160. C2×C8 | C4×D79 | semidirect |
| 199. C8 | C2×C4×D79 | semidirect |
| 217. C2 | #19098665 | direct (N × H) |