Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
274 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19098612 | C2 | semidirect |
| 3. #19098567 | C2 | semidirect |
| 4. #19098547 | C2 | semidirect |
| 5. C2×#14579077 | C2 | semidirect |
| 6. #19098333 | C2 | semidirect |
| 7. #421×C79 | C2 | semidirect |
| 111. C79 | #2048 | semidirect |
| 114. #421 | D79 | semidirect |