Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #19098391 | C2 | semidirect |
| 5. #19098390 | C2 | semidirect |
| 6. #19098388 | C2 | semidirect |
| 7. #366×C79 | C2 | semidirect |
| 11. #14579100 | C4 | semidirect |
| 30. C79⋊C16 | C2×C4 | semidirect |
| 34. C16×C79 | C2×C4 | semidirect |
| 64. C79 | #2159 | semidirect |
| 71. #366 | D79 | semidirect |
| 98. C16 | C4×D79 | semidirect |