Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
222 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19098590 | C2 | semidirect |
| 4. C2×#14579071 | C2 | semidirect |
| 5. #19098328 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 19. #103×C79 | C4 | semidirect |
| 20. #102×C79 | C4 | semidirect |
| 91. C79 | #1938 | semidirect |
| 108. #103 | Dic79 | semidirect |
| 109. #102 | Dic79 | semidirect |