Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 173 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. #19098625 | C2 | semidirect |
| 3. #19098622 | C2 | semidirect |
| 4. #19098586 | C2 | semidirect |
| 6. C4×#11929608 | C2 | semidirect |
| 7. C4×M16×C79 | C2 | semidirect |
| 16. Dic79⋊C8 | C22 | semidirect |
| 18. #14579072 | C22 | semidirect |
| 19. C4×C79⋊C8 | C22 | semidirect |
| 22. #97×C79 | C22 | semidirect |
| 23. C4×C8×C79 | C22 | semidirect |
| 80. C79 | #2921 | semidirect |
| 87. C4×M16 | D79 | semidirect |
| 101. #97 | C2×D79 | semidirect |
| 103. C4×C8 | C2×D79 | semidirect |