Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19099143 | C2 | semidirect |
| 2. #19098892 | C2 | semidirect |
| 3. #19098883 | C2 | semidirect |
| 4. #19098816 | C2 | semidirect |
| 5. #19098794 | C2 | semidirect |
| 6. #19098724 | C2 | semidirect |
| 7. #19098711 | C2 | semidirect |
| 8. #19098531 | C2 | semidirect |
| 9. #470×C79 | C2 | semidirect |
| 118. C79 | #3204 | semidirect |
| 122. #470 | D79 | semidirect |