Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 81 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 | semidirect |
| 4. #427×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 |
| 85. C79 | #2145 | semidirect |
| 88. #427 | D79 | semidirect |
| 104. #106 | C2×D79 | semidirect |