Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
200 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #19127451 | C2 | direct (N × H) |
| 19. C2×C83⋊C8 | C8 | semidirect |
| 46. C83⋊C8 | C2×C8 | semidirect |
| 59. C2×C83 | #334 | semidirect |
| 64. C83 | C2×#334 | semidirect |
| 123. C2 | #19127451 | direct (N × H) |