Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
266 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 61 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. C2×#14579102 | C2 | semidirect |
| 2. #19098799 | C2 | semidirect |
| 3. #19098364 | C2 | semidirect |
| 4. C22⋊(C79⋊C16) | C2 | semidirect |
| 5. C22×D8×C79 | C2 | semidirect |
| 6. C2×D632 | C22 | semidirect |
| 9. C2×C79⋊C16 | C22 | semidirect |
| 10. #14579095 | C22 | semidirect |
| 31. D8×C79 | D4 | semidirect |
| 60. C22×C79 | D16 | semidirect |
| 76. C79 | #2184 | semidirect |
| 77. C22×D8 | D79 | semidirect |
| 104. D8 | C22⋊D79 | semidirect |
| 139. C22 | #14579102 | semidirect |