Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
220 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19099368 | C2 | semidirect |
| 2. #19098999 | C2 | semidirect |
| 3. C2×#14579102 | C2 | semidirect |
| 4. #19098375 | C2 | semidirect |
| 5. #19098369 | C2 | semidirect |
| 6. #19098347 | C2 | semidirect |
| 7. #472×C79 | C2 | semidirect |
| 18. #14579101 | C22 | semidirect |
| 19. C2×C79⋊C16 | C22 | semidirect |
| 21. C2×D8×C79 | C22 | semidirect |
| 23. #108×C79 | C22 | semidirect |
| 94. C79 | #2192 | semidirect |
| 98. #472 | D79 | semidirect |
| 110. C2×D8 | C2×D79 | semidirect |
| 117. #108 | C2×D79 | semidirect |