Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
138 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 138 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 |
|---|---|---|
| 2. #19098366 | C2 | semidirect |
| 4. C4×C79⋊C16 | C2 | semidirect |
| 5. #499×C79 | C2 | semidirect |
| 50. C79 | #2242 | semidirect |
| 51. #499 | D79 | semidirect |