Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
188 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19098760 | C2 | semidirect |
| 2. C8×Dic158 | C2 | semidirect |
| 3. #19098316 | C2 | semidirect |
| 4. #19098307 | C2 | semidirect |
| 44. Dic158 | D8 | semidirect |
| 46. C8×C79 | SD16 | semidirect |
| 65. C79 | #1668 | semidirect |
| 113. C8 | #11929612 | semidirect |