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 |
| 3. #19098965 | C2 | semidirect |
| 4. #19098961 | C2 | semidirect |
| 5. #19098871 | C2 | semidirect |
| 7. #19098859 | C2 | semidirect |
| 11. C8×Q8×C79 | C2 | semidirect |
| 47. #11929613 | Q8 | semidirect |
| 115. C79 | #3381 | semidirect |
| 124. C8×Q8 | D79 | semidirect |