Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14579135 | C2 | semidirect |
| 2. #19098877 | C2 | semidirect |
| 3. #19098799 | C2 | semidirect |
| 4. #19098699 | C2 | semidirect |
| 5. C2×C22⋊C8×C79 | C2 | semidirect |
| 6. C22×D316 | C22 | semidirect |
| 8. C2×D632 | C22 | semidirect |
| 12. #14579135 | C22 | semidirect |
| 13. C2×C4⋊Dic79 | C22 | semidirect |
| 15. #14579095 | C22 | semidirect |
| 16. #14579083 | C22 | semidirect |
| 18. C22×C8×C79 | C22 | semidirect |
| 19. C22⋊C8×C79 | C22 | semidirect |
| 43. C23×C79 | D8 | semidirect |
| 87. C79 | #3186 | semidirect |
| 92. C2×C22⋊C8 | D79 | semidirect |
| 97. C22×C8 | C2×D79 | semidirect |
| 106. C22⋊C8 | C2×D79 | semidirect |
| 134. C23 | D632 | semidirect |