Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #19098971 | C2 | semidirect |
| 4. #19098970 | C2 | semidirect |
| 5. #19098964 | C2 | semidirect |
| 6. #19098963 | C2 | semidirect |
| 48. #11929608 | Q8 | semidirect |
| 72. M16×C79 | Q8 | semidirect |
| 125. C79 | #3166 | semidirect |
| 176. M16 | Dic158 | semidirect |