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. #19099111 | C2 | semidirect |
| 2. C4×#11929623 | C2 | semidirect |
| 3. #19098885 | C2 | semidirect |
| 4. #19098859 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098705 | C2 | semidirect |
| 8. #19098654 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 91. D4×C79 | #41 | semidirect |
| 114. Dic158 | #41 | semidirect |
| 145. C79 | #3106 | semidirect |
| 152. #459 | D79 | semidirect |
| 241. D4 | #11929623 | semidirect |