Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19099120 | C2 | semidirect |
| 3. #19098961 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098914 | C2 | semidirect |
| 6. #19098910 | C2 | semidirect |
| 7. #19098792 | C2 | semidirect |
| 8. C4×#11929613 | C2 | semidirect |
| 9. C2×C4×C8×C79 | C2 | semidirect |
| 71. C2×C4×C79 | SD16 | semidirect |
| 90. C8×C79 | #41 | semidirect |
| 113. C79 | #3167 | semidirect |
| 122. C2×C4×C8 | D79 | semidirect |
| 195. C2×C4 | #11929613 | semidirect |
| 203. C8 | #11929624 | semidirect |