Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19098967 | C2 | semidirect |
| 3. #19098388 | C2 | semidirect |
| 4. Dic79⋊C16 | C2 | semidirect |
| 7. #366×C79 | C2 | semidirect |
| 23. D632 | Q8 | semidirect |
| 64. C79 | #2224 | semidirect |
| 68. #366 | D79 | semidirect |