Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19099286 | C2 | semidirect |
| 2. #19098909 | C2 | semidirect |
| 4. #19098308 | C2 | semidirect |
| 5. Q8⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098290 | C2 | semidirect |
| 7. #460×C79 | C2 | semidirect |
| 96. C79 | #1628 | semidirect |
| 99. #460 | D79 | semidirect |