Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
616 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 205 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. C2×D4×Dic79 | C2 | semidirect |
| 3. C2×#14579123 | C2 | semidirect |
| 4. #19098643 | C2 | direct (N × H) |
| 5. C2×#14579094 | C2 | semidirect |
| 6. C2×#14579083 | C2 | semidirect |
| 7. C2×C8×Dic79 | C2 | semidirect |
| 8. C2×#102×C79 | C2 | semidirect |
| 12. C2×#11929609 | C4 | semidirect |
| 16. D4×Dic79 | C22 | semidirect |
| 18. #14579123 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579083 | C22 | semidirect |
| 25. C8×Dic79 | C22 | semidirect |
| 29. #102×C79 | C22 | semidirect |
| 33. C2×D316 | C2×C4 | semidirect |
| 42. #11929609 | C2×C4 | semidirect |
| 43. C2×C79⋊C8 | C2×C4 | semidirect |
| 54. C2×D4×C79 | C2×C4 | semidirect |
| 73. D4×C79 | C22×C4 | semidirect |
| 84. C2×Dic79 | D8 | semidirect |
| 89. D316 | C22×C4 | semidirect |
| 92. C79⋊C8 | C22×C4 | semidirect |
| 111. Dic79 | C2×D8 | semidirect |
| 113. C2×C79 | C4×D8 | semidirect |
| 119. C79 | C2×C4×D8 | semidirect |
| 126. C2×#102 | D79 | semidirect |
| 147. #102 | C2×D79 | semidirect |
| 157. C2×D4 | C4×D79 | semidirect |
| 195. D4 | C2×C4×D79 | semidirect |
| 233. C2 | #19098643 | direct (N × H) |