Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 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. #19098972 | C2 | semidirect |
| 4. #19098968 | C2 | semidirect |
| 6. #19098859 | C2 | semidirect |
| 7. #19098849 | C2 | semidirect |
| 11. #446×C79 | C2 | semidirect |
| 49. #11929613 | Q8 | semidirect |
| 93. Dic158 | C2×Q8 | semidirect |
| 96. C8×C79 | C2×Q8 | semidirect |
| 117. C79 | #3386 | semidirect |
| 126. #446 | D79 | semidirect |
| 213. C8 | Q8×D79 | semidirect |