Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19098937 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. C8×C79⋊C8 | C2 | semidirect |
| 5. #500×C79 | C2 | semidirect |
| 36. C8×C79 | SD16 | semidirect |
| 38. C79⋊C8 | D8 | semidirect |
| 52. C79 | #1706 | semidirect |
| 53. #500 | D79 | semidirect |
| 90. C8 | #11929611 | semidirect |