Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098968 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098914 | C2 | semidirect |
| 6. #19098910 | C2 | semidirect |
| 7. #19098809 | C2 | semidirect |
| 8. #19098665 | C2 | semidirect |
| 9. C4×M16×C79 | C2 | semidirect |
| 90. C8×C79 | #41 | semidirect |
| 113. C79 | #3182 | semidirect |
| 122. C4×M16 | D79 | semidirect |
| 203. C8 | #11929624 | semidirect |