Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
266 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19098547 | C2 | semidirect |
| 2. #19098537 | C2 | semidirect |
| 3. #19098350 | C2 | semidirect |
| 12. C22×D4×C79 | C4 | semidirect |
| 17. #120×C79 | C4 | semidirect |
| 19. #117×C79 | C4 | semidirect |
| 100. C79 | #2122 | semidirect |
| 106. C22×D4 | Dic79 | semidirect |
| 112. #120 | Dic79 | semidirect |
| 115. #117 | Dic79 | semidirect |