Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579167 | C2 | semidirect |
| 2. #19099141 | C2 | semidirect |
| 3. #19098806 | C2 | semidirect |
| 4. #19098801 | C2 | semidirect |
| 5. #19098796 | C2 | semidirect |
| 6. C2×#14579095 | C2 | semidirect |
| 7. #19098564 | C2 | semidirect |
| 8. C2×#135×C79 | C2 | semidirect |
| 57. C2×C8×C79 | D4 | semidirect |
| 109. C79 | #3061 | semidirect |
| 110. C2×#135 | D79 | semidirect |
| 161. C2×C8 | C22⋊D79 | semidirect |