Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
544 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 185 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. #19098495 | C2 | semidirect |
| 3. #19098484 | C2 | semidirect |
| 4. #19098469 | C2 | semidirect |
| 5. #19098461 | C2 | semidirect |
| 51. C22×C4×C79 | Q8 | semidirect |
| 57. C22⋊C4×C79 | Q8 | semidirect |
| 115. C79 | #2549 | semidirect |
| 159. C22×C4 | Dic158 | semidirect |
| 171. C22⋊C4 | Dic158 | semidirect |