Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19098612 | C2 | semidirect |
| 4. M16×Dic79 | C2 | semidirect |
| 5. #19098335 | C2 | semidirect |
| 6. #19098324 | C2 | semidirect |
| 21. #101×C79 | C4 | semidirect |
| 22. #100×C79 | C4 | semidirect |
| 96. C79 | #1932 | semidirect |
| 115. #101 | Dic79 | semidirect |
| 116. #100 | Dic79 | semidirect |