Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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×#14579101 | C2 | semidirect |
| 3. #19098372 | C2 | direct (N × H) |
| 4. C2×#106×C79 | C2 | semidirect |
| 8. #14579183 | C4 | semidirect |
| 10. C2×Dic316 | C4 | semidirect |
| 12. C2×D632 | C4 | semidirect |
| 14. #14579101 | C22 | semidirect |
| 19. #106×C79 | C22 | semidirect |
| 29. Dic316 | C2×C4 | semidirect |
| 33. D632 | C2×C4 | semidirect |
| 82. C2×C79 | #360 | semidirect |
| 86. C79 | C2×#360 | semidirect |
| 89. C2×#106 | D79 | semidirect |
| 105. #106 | C2×D79 | semidirect |
| 169. C2 | #19098372 | direct (N × H) |