Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
652 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 229 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×#14579118 | C2 | semidirect |
| 4. #19098461 | C2 | semidirect |
| 5. #19098454 | C2 | semidirect |
| 6. C4×C4⋊Dic79 | C2 | semidirect |
| 7. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 8. C43×C79 | C2 | semidirect |
| 11. C4×D316 | C4 | semidirect |
| 51. C42×C79 | D4 | semidirect |
| 92. C4×C79 | #117 | semidirect |
| 103. C79 | #2293 | semidirect |
| 111. C43 | D79 | semidirect |
| 154. C42 | D316 | semidirect |
| 197. C4 | #14579118 | semidirect |