Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
250 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 59 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. D4×Dic158 | C2 | semidirect |
| 2. #19098909 | C2 | semidirect |
| 3. #19098760 | C2 | semidirect |
| 4. #19098308 | C2 | semidirect |
| 5. #19098293 | C2 | semidirect |
| 6. D4⋊(C79⋊C8) | C2 | semidirect |
| 59. D4×C79 | SD16 | semidirect |
| 74. Dic158 | D8 | semidirect |
| 100. C79 | #1627 | semidirect |
| 164. D4 | #11929612 | semidirect |