Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
704 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 237 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 |
|---|---|---|
| 3. #19098461 | C2 | semidirect |
| 4. #19098434 | C2 | semidirect |
| 5. #19098429 | C2 | semidirect |
| 6. #19098422 | C2 | semidirect |
| 7. #95×D79 | C2 | semidirect |
| 8. C4×C4⋊C4×C79 | C2 | semidirect |
| 13. C4×D316 | C4 | semidirect |
| 37. C2×C4×D79 | C2×C4 | semidirect |
| 39. C4⋊Dic79 | C2×C4 | semidirect |
| 42. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 50. C42×C79 | C2×C4 | semidirect |
| 75. D316 | C4⋊C4 | semidirect |
| 102. C79 | #2349 | semidirect |
| 109. C4×C4⋊C4 | D79 | semidirect |
| 152. C42 | C4×D79 | semidirect |