Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
180 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19127454 | C2 | semidirect |
| 4. #19127451 | C2 | semidirect |
| 5. #335×C83 | C2 | semidirect |
| 24. C8×D83 | C8 | semidirect |
| 67. C83 | #1564 | semidirect |
| 71. #335 | D83 | semidirect |