Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 175 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. C4×#11929623 | C2 | semidirect |
| 3. #19098675 | C2 | semidirect |
| 4. #19098671 | C2 | semidirect |
| 5. #19098669 | C2 | semidirect |
| 6. #19098663 | C2 | semidirect |
| 7. #19098660 | C2 | semidirect |
| 8. #19098598 | C2 | semidirect |
| 9. #19098556 | C2 | semidirect |
| 10. #97×D79 | C2 | semidirect |
| 11. #442×C79 | C2 | semidirect |
| 13. #14579180 | C4 | semidirect |
| 41. #11929623 | C2×C4 | semidirect |
| 48. Dic316 | C2×C4 | semidirect |
| 49. #11929612 | C2×C4 | semidirect |
| 53. C8×D79 | C2×C4 | semidirect |
| 66. D8×C79 | C2×C4 | semidirect |
| 115. C79 | #2943 | semidirect |
| 119. #442 | D79 | semidirect |
| 167. D8 | C4×D79 | semidirect |