Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. C2×#14579120 | C2 | semidirect |
| 3. #19098905 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098605 | C2 | semidirect |
| 6. #19098565 | C2 | semidirect |
| 7. #407×C79 | C2 | semidirect |
| 20. #14579095 | C22 | semidirect |
| 21. #14579093 | C22 | semidirect |
| 22. #14579086 | C22 | semidirect |
| 23. #14579083 | C22 | semidirect |
| 95. C79 | #3093 | semidirect |
| 102. #407 | D79 | semidirect |