Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
760 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×D632 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. C2×#14579157 | C2 | semidirect |
| 4. #19098938 | C2 | direct (N × H) |
| 5. C2×C8×Dic79 | C2 | semidirect |
| 6. C22×D8×C79 | C2 | semidirect |
| 10. C2×D632 | C22 | semidirect |
| 12. C2×#11929609 | C22 | semidirect |
| 15. #14579157 | C22 | semidirect |
| 17. C8×Dic79 | C22 | semidirect |
| 20. C2×D8×C79 | C22 | semidirect |
| 32. C2×C79⋊C8 | D4 | semidirect |
| 43. C2×C8×C79 | D4 | semidirect |
| 60. C2×Dic79 | D8 | semidirect |
| 65. C8×C79 | C2×D4 | semidirect |
| 66. C79⋊C8 | C2×D4 | semidirect |
| 79. Dic79 | C2×D8 | semidirect |
| 81. C2×C79 | #493 | semidirect |
| 86. C79 | C2×#493 | semidirect |
| 89. C22×D8 | D79 | semidirect |
| 101. C2×D8 | C2×D79 | semidirect |
| 127. C2×C8 | C22⋊D79 | semidirect |
| 152. C8 | C2×C22⋊D79 | semidirect |
| 168. C2 | #19098938 | direct (N × H) |