Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19099044 | C2 | semidirect |
| 3. C2×#14579087 | C2 | semidirect |
| 4. #19098569 | C2 | semidirect |
| 5. #19098464 | C2 | semidirect |
| 6. #19098324 | C2 | semidirect |
| 7. #343×C79 | C2 | semidirect |
| 11. #14579189 | C4 | semidirect |
| 39. C2×D316 | C2×C4 | semidirect |
| 62. M16×C79 | C2×C4 | semidirect |
| 95. D316 | C22⋊C4 | semidirect |
| 100. Dic158 | C22⋊C4 | semidirect |
| 133. C79 | #1883 | semidirect |
| 139. #343 | D79 | semidirect |
| 185. M16 | C4×D79 | semidirect |