Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 1. C2×#14579191 | C2 | semidirect |
| 2. C2×M16×D79 | C2 | semidirect |
| 4. C2×#14579141 | C2 | semidirect |
| 5. #19098820 | C2 | semidirect |
| 6. #19098808 | C2 | semidirect |
| 7. #19098803 | C2 | semidirect |
| 8. #19098791 | C2 | semidirect |
| 9. #19098603 | C2 | semidirect |
| 10. #19098573 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 15. C2×#11929614 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 36. #14579094 | C22 | semidirect |
| 37. #14579092 | C22 | semidirect |
| 38. #14579086 | C22 | semidirect |
| 39. #14579086 | C22 | semidirect |
| 43. #103×C79 | C22 | semidirect |
| 44. #102×C79 | C22 | semidirect |
| 62. #11929608 | D4 | semidirect |
| 145. C2×D79 | #137 | semidirect |
| 164. C79 | #3056 | semidirect |
| 175. #417 | D79 | semidirect |
| 207. #103 | C2×D79 | semidirect |
| 208. #102 | C2×D79 | semidirect |