Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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. D8×Dic79 | C2 | semidirect |
| 3. #19098645 | C2 | semidirect |
| 4. #19098390 | C2 | semidirect |
| 5. #19098365 | C2 | semidirect |
| 6. #19098338 | C2 | semidirect |
| 7. #357×C79 | C2 | semidirect |
| 11. #14579102 | C4 | semidirect |
| 24. D632 | C2×C4 | semidirect |
| 30. C79⋊C16 | C2×C4 | semidirect |
| 33. D8×C79 | C2×C4 | semidirect |
| 72. C79 | #2177 | semidirect |
| 78. #357 | D79 | semidirect |
| 99. D8 | C4×D79 | semidirect |