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 |
|---|---|---|
| 3. #19098661 | C2 | direct (N × H) |
| 4. C2×#14579094 | C2 | semidirect |
| 5. C2×#14579085 | C2 | semidirect |
| 7. C2×#14579072 | C2 | semidirect |
| 8. C2×C4×Q8×C79 | C2 | semidirect |
| 11. C2×#11929611 | C4 | semidirect |
| 19. #14579094 | C22 | semidirect |
| 20. #14579085 | C22 | semidirect |
| 22. #14579072 | C22 | semidirect |
| 25. C4×Q8×C79 | C22 | semidirect |
| 38. #11929611 | C2×C4 | semidirect |
| 40. C2×C79⋊C8 | C2×C4 | semidirect |
| 48. C2×Q8×C79 | C2×C4 | semidirect |
| 68. Q8×C79 | C22×C4 | semidirect |
| 88. C79⋊C8 | C22×C4 | semidirect |
| 105. C2×C79 | #440 | semidirect |
| 111. C79 | C2×#440 | semidirect |
| 113. C2×C4×Q8 | D79 | semidirect |
| 128. C4×Q8 | C2×D79 | semidirect |
| 144. C2×Q8 | C4×D79 | semidirect |
| 179. Q8 | C2×C4×D79 | semidirect |
| 217. C2 | #19098661 | direct (N × H) |