Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1144 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 309 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. #19098425 | C2 | direct (N × H) |
| 4. C2×C79⋊#95 | C2 | semidirect |
| 5. C2×C79⋊#95 | C2 | semidirect |
| 6. C2×#95×C79 | C2 | semidirect |
| 11. C22×C4×D79 | C4 | semidirect |
| 15. C79⋊#95 | C22 | semidirect |
| 16. C79⋊#95 | C22 | semidirect |
| 19. #95×C79 | C22 | semidirect |
| 35. C2×C4×D79 | C2×C4 | semidirect |
| 96. C2×C79 | #381 | semidirect |
| 104. C79 | C2×#381 | semidirect |
| 110. C2×#95 | D79 | semidirect |
| 123. #95 | C2×D79 | semidirect |
| 201. C2 | #19098425 | direct (N × H) |