Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19099329 | C2 | semidirect |
| 3. #19098545 | C2 | semidirect |
| 4. #19098526 | C2 | semidirect |
| 5. #19098526 | C2 | semidirect |
| 6. #19098333 | C2 | semidirect |
| 7. #344×C79 | C2 | semidirect |
| 50. C2×C79⋊C8 | D4 | semidirect |
| 61. C2×C8×C79 | D4 | semidirect |
| 126. C79 | #1891 | semidirect |
| 133. #344 | D79 | semidirect |
| 184. C2×C8 | D316 | semidirect |