Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 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. #19099228 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098842 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. C8×Dic158 | C2 | semidirect |
| 8. #500×C79 | C2 | semidirect |
| 34. D632 | Q8 | semidirect |
| 59. D316 | C2×Q8 | semidirect |
| 63. Dic158 | D8 | semidirect |
| 65. C8×C79 | C2×Q8 | semidirect |
| 84. C79 | Q8×D8 | semidirect |
| 87. #500 | D79 | semidirect |
| 150. C8 | Q8×D79 | semidirect |