Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19098967 | C2 | semidirect |
| 3. #19098897 | C2 | semidirect |
| 4. #19098896 | C2 | semidirect |
| 5. #19098856 | C2 | semidirect |
| 6. #19098801 | C2 | semidirect |
| 7. Q16×Dic79 | C2 | semidirect |
| 9. C2×#14579095 | C2 | semidirect |
| 10. #107×D79 | C2 | semidirect |
| 11. #467×C79 | C2 | semidirect |
| 79. C22⋊D79 | Q16 | semidirect |
| 117. C79 | #3338 | semidirect |
| 124. #467 | D79 | semidirect |