Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19099108 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098799 | C2 | semidirect |
| 6. #19098797 | C2 | semidirect |
| 7. D8×Dic79 | C2 | semidirect |
| 8. #19098645 | C2 | semidirect |
| 9. #19098643 | C2 | semidirect |
| 10. C2×C8×Dic79 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 89. C2×Dic79 | D8 | semidirect |
| 99. C8×C79 | #41 | semidirect |
| 101. C79⋊C8 | #41 | semidirect |
| 128. C79 | #3169 | semidirect |
| 135. #466 | D79 | semidirect |
| 229. C8 | #11929623 | semidirect |