Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
312 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19098615 | C2 | semidirect |
| 3. #19098614 | C2 | semidirect |
| 4. #19098292 | C2 | semidirect |
| 5. D4⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098290 | C2 | semidirect |
| 7. D4⋊C8×C79 | C2 | semidirect |
| 18. C4⋊(C79⋊C8) | C22 | semidirect |
| 22. C4×C79⋊C8 | C22 | semidirect |
| 25. C4⋊C8×C79 | C22 | semidirect |
| 26. C4×C8×C79 | C22 | semidirect |
| 31. D4×D79 | C8 | semidirect |
| 121. C79 | #1478 | semidirect |
| 128. D4⋊C8 | D79 | semidirect |
| 142. C4⋊C8 | C2×D79 | semidirect |
| 147. C4×C8 | C2×D79 | semidirect |