Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19099113 | C2 | semidirect |
| 2. #19099097 | C2 | semidirect |
| 3. #19098972 | C2 | semidirect |
| 4. #19098952 | C2 | semidirect |
| 5. #19098928 | C2 | semidirect |
| 6. #19098923 | C2 | semidirect |
| 7. #19098816 | C2 | semidirect |
| 8. #19098809 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. C4×D632 | C2 | semidirect |
| 11. C4×M16×C79 | C2 | semidirect |
| 110. C8×C79 | #41 | semidirect |
| 138. C79 | #3171 | semidirect |
| 149. C4×M16 | D79 | semidirect |
| 248. C8 | #11929624 | semidirect |