Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 3. C2×#14579072 | C2 | semidirect |
| 4. #19098325 | C2 | semidirect |
| 5. C4×C4⋊C4×C79 | C2 | semidirect |
| 10. C4×D316 | C4 | semidirect |
| 13. #14579081 | C4 | semidirect |
| 29. C2×C79⋊C8 | C2×C4 | semidirect |
| 38. C4⋊C4×C79 | C2×C4 | semidirect |
| 64. D316 | C42 | semidirect |
| 91. C79 | #1762 | semidirect |
| 95. C4×C4⋊C4 | D79 | semidirect |
| 128. C4⋊C4 | C4×D79 | semidirect |