Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
266 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. C22×D632 | C2 | semidirect |
| 2. C2×D1264 | C2 | semidirect |
| 3. #19098799 | C2 | semidirect |
| 4. #19098365 | C2 | semidirect |
| 5. C22⋊C16×C79 | C2 | semidirect |
| 10. C2×D632 | C22 | semidirect |
| 13. #14579095 | C22 | semidirect |
| 16. C2×C16×C79 | C22 | semidirect |
| 27. D632 | D4 | semidirect |
| 56. C22×C79 | D16 | semidirect |
| 76. C79 | #2184 | semidirect |
| 81. C22⋊C16 | D79 | semidirect |
| 90. C2×C16 | C2×D79 | semidirect |
| 139. C22 | D1264 | semidirect |