Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #19098424 | C2 | semidirect |
| 5. #19098424 | C2 | semidirect |
| 6. #19098329 | C2 | semidirect |
| 7. #342×C79 | C2 | semidirect |
| 11. #14579145 | C4 | semidirect |
| 40. C22×Dic79 | C2×C4 | semidirect |
| 62. C22⋊C4×C79 | C2×C4 | semidirect |
| 135. C79 | #1890 | semidirect |
| 142. #342 | D79 | semidirect |
| 196. C22⋊C4 | C4×D79 | semidirect |