Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
294 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#14579152 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. #340×C79 | C2 | semidirect |
| 121. C79 | #2025 | semidirect |
| 127. #340 | D79 | semidirect |