Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 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. C2×#14579100 | C2 | semidirect |
| 2. #19098796 | C2 | semidirect |
| 3. #19098391 | C2 | semidirect |
| 4. #19098364 | C2 | semidirect |
| 5. C2×D16×C79 | C2 | semidirect |
| 27. C16×C79 | D4 | semidirect |
| 56. C79 | #2218 | semidirect |
| 57. C2×D16 | D79 | semidirect |
| 83. C16 | C22⋊D79 | semidirect |