Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19098964 | C2 | semidirect |
| 3. #19098906 | C2 | semidirect |
| 4. #19098893 | C2 | semidirect |
| 5. #19098869 | C2 | semidirect |
| 6. #19098805 | C2 | semidirect |
| 7. #19098804 | C2 | semidirect |
| 8. #19098657 | C2 | semidirect |
| 10. #19098600 | C2 | semidirect |
| 11. C2×#107×C79 | C2 | semidirect |
| 115. C79 | #3336 | semidirect |
| 126. C2×#107 | D79 | semidirect |