Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099164 | C2 | semidirect |
| 2. #19098963 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098926 | C2 | semidirect |
| 5. #19098817 | C2 | semidirect |
| 6. #19098813 | C2 | semidirect |
| 7. #19098798 | C2 | semidirect |
| 8. #19098676 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. #19098520 | C2 | semidirect |
| 11. #442×C79 | C2 | semidirect |
| 116. C79 | #3176 | semidirect |
| 125. #442 | D79 | semidirect |