Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
560 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 560 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 |
|---|---|---|
| 2. #19098456 | C2 | semidirect |
| 3. #19098429 | C2 | semidirect |
| 4. #19098426 | C2 | semidirect |
| 5. C4⋊C4×Dic79 | C2 | semidirect |
| 6. C4×C4⋊Dic79 | C2 | semidirect |
| 7. C4×C22⋊Dic79 | C2 | semidirect |
| 22. C4×D4×C79 | C4 | semidirect |
| 98. C79 | #2357 | semidirect |
| 109. C4×D4 | Dic79 | semidirect |