Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
196 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19098339 | C2 | semidirect |
| 4. C16×Dic79 | C2 | semidirect |
| 5. #346×C79 | C2 | semidirect |
| 9. #14579100 | C4 | semidirect |
| 24. C79⋊C16 | C2×C4 | semidirect |
| 28. C16×C79 | C2×C4 | semidirect |
| 48. Dic79 | M32 | semidirect |
| 53. C79 | C4×M32 | semidirect |
| 57. #346 | D79 | semidirect |
| 81. C16 | C4×D79 | semidirect |