Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099218 | C2 | semidirect |
| 2. #19098968 | C2 | semidirect |
| 3. #19098875 | C2 | semidirect |
| 4. #19098843 | C2 | semidirect |
| 5. #19098796 | C2 | semidirect |
| 6. C8×D316 | C2 | semidirect |
| 7. #107×D79 | C2 | semidirect |
| 8. C4×D8×C79 | C2 | semidirect |
| 62. D316 | D8 | semidirect |
| 68. C8×C79 | #41 | semidirect |
| 90. C79 | #3334 | semidirect |
| 96. C4×D8 | D79 | semidirect |
| 159. C8 | #11929624 | semidirect |