Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 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. #19099045 | C2 | semidirect |
| 3. #19098676 | C2 | semidirect |
| 4. #19098674 | C2 | semidirect |
| 5. #19098670 | C2 | semidirect |
| 6. C4×#11929611 | C2 | semidirect |
| 7. #19098648 | C2 | semidirect |
| 8. #106×D79 | C2 | semidirect |
| 9. #19098563 | C2 | semidirect |
| 10. #19098520 | C2 | semidirect |
| 11. #441×C79 | C2 | semidirect |
| 13. #14579184 | C4 | semidirect |
| 41. #11929625 | C2×C4 | semidirect |
| 49. #11929611 | C2×C4 | semidirect |
| 50. D632 | C2×C4 | semidirect |
| 54. C8×D79 | C2×C4 | semidirect |
| 65. Q16×C79 | C2×C4 | semidirect |
| 115. C79 | #2952 | semidirect |
| 121. #441 | D79 | semidirect |
| 165. Q16 | C4×D79 | semidirect |