Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
256 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14579104 | C2 | semidirect |
| 3. #19098801 | C2 | semidirect |
| 4. #19098365 | C2 | semidirect |
| 5. #19098364 | C2 | semidirect |
| 6. (C2×D79)⋊C16 | C2 | semidirect |
| 7. C2×SD32×C79 | C2 | semidirect |
| 16. C2×C79⋊C16 | C22 | semidirect |
| 17. #14579095 | C22 | semidirect |
| 19. C2×Q16×C79 | C22 | semidirect |
| 22. C2×C16×C79 | C22 | semidirect |
| 79. C2×D79 | SD32 | semidirect |
| 92. C79 | #2187 | semidirect |
| 95. C2×SD32 | D79 | semidirect |
| 101. C2×Q16 | C2×D79 | semidirect |
| 112. C2×C16 | C2×D79 | semidirect |