Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
388 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 101 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×C22⋊(C83⋊C8) | C2 | semidirect |
| 3. #19127434 | C2 | direct (N × H) |
| 4. C2×#95×C83 | C2 | semidirect |
| 5. C22×D332 | C4 | semidirect |
| 10. #14581766 | C4 | semidirect |
| 12. C2×C4⋊Dic83 | C4 | semidirect |
| 15. C22⋊(C83⋊C8) | C22 | semidirect |
| 19. #95×C83 | C22 | semidirect |
| 23. C2×D332 | C2×C4 | semidirect |
| 32. C4⋊Dic83 | C2×C4 | semidirect |
| 106. C2×C83 | #327 | semidirect |
| 112. C83 | C2×#327 | semidirect |
| 115. C2×#95 | D83 | semidirect |
| 131. #95 | C2×D83 | semidirect |
| 219. C2 | #19127434 | direct (N × H) |