Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
688 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 1. C2×#14579144 | C2 | semidirect |
| 3. #19098465 | C2 | semidirect |
| 4. #19098461 | C2 | semidirect |
| 5. #19098454 | C2 | semidirect |
| 6. #19098442 | C2 | semidirect |
| 7. #19098423 | C2 | semidirect |
| 8. C22×C42×C79 | C2 | semidirect |
| 50. C22×C4×C79 | D4 | semidirect |
| 107. C4×C79 | #123 | semidirect |
| 118. C79 | #2854 | semidirect |
| 121. C22×C42 | D79 | semidirect |
| 160. C22×C4 | D316 | semidirect |
| 227. C4 | #14579144 | semidirect |