Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 2. #19098461 | C2 | semidirect |
| 4. #19098427 | C2 | semidirect |
| 6. C4×C4⋊Dic79 | C2 | semidirect |
| 7. #19098408 | C2 | semidirect |
| 9. #14579120 | C4 | semidirect |
| 95. C79 | #2346 | semidirect |