Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
236 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. M32×D79 | C2 | semidirect |
| 3. #19098345 | C2 | semidirect |
| 4. #19098344 | C2 | semidirect |
| 5. #349×C79 | C2 | semidirect |
| 14. #14579101 | C22 | semidirect |
| 18. M32×C79 | C22 | semidirect |
| 93. D79 | #349 | direct (N × H) |
| 95. C79 | C2×#349 | semidirect |
| 100. #349 | D79 | direct (N × H) |
| 112. M32 | C2×D79 | semidirect |