Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
672 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 153 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. #19098489 | C2 | semidirect |
| 3. #19098474 | C2 | semidirect |
| 4. #19098453 | C2 | semidirect |
| 5. #19098424 | C2 | semidirect |
| 7. C4×C22⋊Dic79 | C2 | semidirect |
| 8. C2×C22⋊Q8×C79 | C2 | semidirect |
| 17. C2×C4×Dic79 | C22 | semidirect |
| 18. C79⋊#95 | C22 | semidirect |
| 19. C79⋊#95 | C22 | semidirect |
| 20. C79⋊#95 | C22 | semidirect |
| 21. C22×Q8×C79 | C22 | semidirect |
| 24. C2×C4⋊C4×C79 | C22 | semidirect |
| 25. C2×C4⋊C4×C79 | C22 | semidirect |
| 111. C79 | #2561 | semidirect |
| 112. C2×C22⋊Q8 | D79 | semidirect |
| 121. C22×Q8 | C2×D79 | semidirect |
| 125. C2×C4⋊C4 | C2×D79 | semidirect |
| 126. C2×C4⋊C4 | C2×D79 | semidirect |