Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 233 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. #19098462 | C2 | semidirect |
| 3. #19098431 | C2 | semidirect |
| 5. C4⋊C4×Dic79 | C2 | semidirect |
| 6. C4×C4⋊Dic79 | C2 | semidirect |
| 21. #117×C79 | C4 | semidirect |
| 95. C79 | #2347 | semidirect |
| 105. #117 | Dic79 | semidirect |