Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099291 | C2 | semidirect |
| 2. #19098962 | C2 | semidirect |
| 3. #19098959 | C2 | semidirect |
| 4. #19098867 | C2 | semidirect |
| 6. #19098855 | C2 | semidirect |
| 8. Q8×C79⋊C8 | C2 | semidirect |
| 43. #11929612 | Q8 | semidirect |
| 115. C79 | #3381 | semidirect |