Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#14579086 | C2 | semidirect |
| 4. C2×#14579084 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. #340×C79 | C2 | semidirect |
| 15. #14579141 | C4 | semidirect |
| 132. C79 | #1894 | semidirect |
| 139. #340 | D79 | semidirect |