Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099114 | C2 | semidirect |
| 2. C4×#11929625 | C2 | semidirect |
| 3. #19098890 | C2 | semidirect |
| 4. #19098850 | C2 | semidirect |
| 5. #19098763 | C2 | semidirect |
| 6. #19098759 | C2 | semidirect |
| 7. #19098711 | C2 | semidirect |
| 8. #19098648 | C2 | semidirect |
| 9. #19098645 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 88. Q8×C79 | #41 | semidirect |
| 106. D316 | #41 | semidirect |
| 145. C79 | #3106 | semidirect |
| 149. #477 | D79 | semidirect |
| 233. Q8 | #11929625 | semidirect |