Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 2. #19099006 | C2 | semidirect |
| 3. C2×#14579106 | C2 | semidirect |
| 4. #19098838 | C2 | semidirect |
| 5. #19098377 | C2 | semidirect |
| 6. #19098371 | C2 | semidirect |
| 7. #350×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 20. #14579097 | C22 | semidirect |
| 23. M32×C79 | C22 | semidirect |
| 24. C2×C16×C79 | C22 | semidirect |
| 92. C79 | #2194 | semidirect |
| 99. #350 | D79 | semidirect |
| 113. M32 | C2×D79 | semidirect |
| 114. C2×C16 | C2×D79 | semidirect |