Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
210 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19099377 | C2 | semidirect |
| 2. #19098998 | C2 | semidirect |
| 3. C2×#14579106 | C2 | semidirect |
| 4. #19098834 | C2 | semidirect |
| 5. #19098378 | C2 | semidirect |
| 6. #19098346 | C2 | semidirect |
| 7. #359×C79 | C2 | semidirect |
| 91. C79 | #2193 | semidirect |
| 97. #359 | D79 | semidirect |