Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #19098973 | C2 | semidirect |
| 3. #19098970 | C2 | semidirect |
| 4. #19098968 | C2 | semidirect |
| 5. #19098967 | C2 | semidirect |
| 6. #19098964 | C2 | semidirect |
| 11. #499×C79 | C2 | semidirect |
| 43. #11929607 | Q8 | semidirect |
| 46. C8×D79 | Q8 | semidirect |
| 108. C79 | #3164 | semidirect |
| 115. #499 | D79 | semidirect |