Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099287 | C2 | semidirect |
| 3. #19098915 | C2 | semidirect |
| 4. #19098906 | C2 | semidirect |
| 5. #19098805 | C2 | semidirect |
| 6. #19098774 | C2 | semidirect |
| 7. #19098726 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. #19098628 | C2 | semidirect |
| 10. #19098556 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 126. C79 | #3302 | semidirect |
| 131. #474 | D79 | semidirect |