Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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. C2×#14579118 | C2 | semidirect |
| 3. C2×C4⋊C4×D79 | C2 | semidirect |
| 4. #19098469 | C2 | semidirect |
| 5. #19098468 | C2 | semidirect |
| 6. #19098466 | C2 | semidirect |
| 7. #19098439 | C2 | semidirect |
| 8. #19098421 | C2 | semidirect |
| 9. #390×C79 | C2 | semidirect |
| 12. C2×#11929623 | C4 | semidirect |
| 36. C2×Dic158 | C2×C4 | semidirect |
| 42. C22×Dic79 | C2×C4 | semidirect |
| 61. C2×D4×C79 | C2×C4 | semidirect |
| 102. C4×D79 | C22⋊C4 | semidirect |
| 134. C79 | #2311 | semidirect |
| 141. #390 | D79 | semidirect |
| 177. C2×D4 | C4×D79 | semidirect |