Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
588 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19098580 | C2 | semidirect |
| 3. #19098569 | C2 | semidirect |
| 4. #19098567 | C2 | semidirect |
| 5. #19098545 | C2 | semidirect |
| 6. #19098536 | C2 | semidirect |
| 7. #421×C79 | C2 | semidirect |
| 12. C2×#11929625 | C4 | semidirect |
| 18. C2×D4×D79 | C4 | semidirect |
| 19. C2×#11929608 | C22 | semidirect |
| 20. #14579120 | C22 | semidirect |
| 28. C2×M16×C79 | C22 | semidirect |
| 29. #117×C79 | C22 | semidirect |
| 154. C79 | #1795 | semidirect |
| 157. #421 | D79 | semidirect |
| 175. C2×M16 | C2×D79 | semidirect |
| 177. #117 | C2×D79 | semidirect |