Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
560 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 157 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. #19098501 | C2 | semidirect |
| 3. #19098498 | C2 | semidirect |
| 4. #19098494 | C2 | semidirect |
| 5. #19098491 | C2 | semidirect |
| 6. #19098489 | C2 | semidirect |
| 8. C4×Dic79⋊C4 | C2 | semidirect |
| 9. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 10. C4×C22⋊Dic79 | C2 | semidirect |
| 11. C2×#117×C79 | C2 | semidirect |
| 138. C79 | #2395 | semidirect |
| 140. C2×#117 | D79 | semidirect |