Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099274 | C2 | semidirect |
| 3. #19098895 | C2 | semidirect |
| 4. #19098883 | C2 | semidirect |
| 5. #19098850 | C2 | semidirect |
| 6. #19098845 | C2 | semidirect |
| 7. #19098793 | C2 | semidirect |
| 8. C4×#11929613 | C2 | semidirect |
| 9. C8×D316 | C2 | semidirect |
| 10. #106×D79 | C2 | semidirect |
| 11. #498×C79 | C2 | semidirect |
| 90. D316 | SD16 | semidirect |
| 99. C8×C79 | #41 | semidirect |
| 124. C79 | #3335 | semidirect |
| 127. #498 | D79 | semidirect |
| 224. C8 | #11929625 | semidirect |