Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579183 | C2 | semidirect |
| 2. #19099141 | C2 | semidirect |
| 3. #19098809 | C2 | semidirect |
| 4. #19098804 | C2 | semidirect |
| 5. #19098799 | C2 | semidirect |
| 6. C2×#14579095 | C2 | semidirect |
| 7. #19098565 | C2 | semidirect |
| 8. C2×#131×C79 | C2 | semidirect |
| 56. C2×C8×C79 | D4 | semidirect |
| 109. C79 | #3061 | semidirect |
| 111. C2×#131 | D79 | semidirect |
| 160. C2×C8 | C22⋊D79 | semidirect |