Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #19098387 | C2 | semidirect |
| 4. #19098386 | C2 | semidirect |
| 5. #19098379 | C2 | semidirect |
| 7. #362×C79 | C2 | semidirect |
| 62. C79 | #2239 | semidirect |
| 68. #362 | D79 | semidirect |