Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #19098604 | C2 | semidirect |
| 4. #19098603 | C2 | semidirect |
| 5. #19098601 | C2 | semidirect |
| 6. #19098600 | C2 | semidirect |
| 7. #107×D79 | C2 | semidirect |
| 8. C2×#107×C79 | C2 | semidirect |
| 10. #14579167 | C4 | semidirect |
| 36. #11929608 | C2×C4 | semidirect |
| 37. #11929607 | C2×C4 | semidirect |
| 39. C8×D79 | C2×C4 | semidirect |
| 49. C2×C8×C79 | C2×C4 | semidirect |
| 94. C79 | #2913 | semidirect |
| 102. C2×#107 | D79 | semidirect |
| 136. C2×C8 | C4×D79 | semidirect |