Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #19098671 | C2 | semidirect |
| 4. #19098386 | C2 | semidirect |
| 5. #19098380 | C2 | semidirect |
| 7. #347×C79 | C2 | semidirect |
| 12. Dic632 | C4 | semidirect |
| 13. #14579106 | C4 | semidirect |
| 65. C79 | #2180 | semidirect |
| 72. #347 | D79 | semidirect |