Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
416 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 416 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. C4⋊Q8×D79 | C2 | semidirect |
| 3. #19098858 | C2 | semidirect |
| 4. #19098854 | C2 | semidirect |
| 5. #19098850 | C2 | semidirect |
| 6. #19098846 | C2 | semidirect |
| 7. #19098842 | C2 | semidirect |
| 8. #19098604 | C2 | semidirect |
| 9. #19098585 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 44. #11929625 | Q8 | semidirect |
| 86. Q8×C79 | C2×Q8 | semidirect |
| 100. D316 | C2×Q8 | semidirect |
| 138. C79 | #3079 | semidirect |
| 142. #477 | D79 | semidirect |
| 226. Q8 | Q8×D79 | semidirect |