Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #19098611 | C2 | semidirect |
| 4. C4×#11929608 | C2 | semidirect |
| 5. #19098334 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 14. #14579080 | C4 | semidirect |
| 15. #14579078 | C4 | semidirect |
| 96. C79 | #1932 | semidirect |