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 |
|---|---|---|
| 2. C2×#14579126 | C2 | semidirect |
| 3. #19098898 | C2 | semidirect |
| 4. #19098873 | C2 | semidirect |
| 5. #19098784 | C2 | semidirect |
| 6. #19098721 | C2 | semidirect |
| 8. #19098669 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 132. C79 | #3117 | semidirect |