Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19099270 | C2 | semidirect |
| 3. #19098961 | C2 | semidirect |
| 4. #19098894 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 7. #19098849 | C2 | semidirect |
| 8. #19098792 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. C2×#14579093 | C2 | semidirect |
| 11. C8×D4×C79 | C2 | semidirect |
| 76. D4×C79 | SD16 | semidirect |
| 100. C8×C79 | #41 | semidirect |
| 124. C79 | #3335 | semidirect |
| 134. C8×D4 | D79 | semidirect |
| 207. D4 | #11929613 | semidirect |
| 224. C8 | #11929623 | semidirect |