Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
168 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19127831 | C2 | semidirect |
| 4. #19127454 | C2 | semidirect |
| 5. #19127433 | C2 | semidirect |
| 7. #322×C83 | C2 | semidirect |
| 78. C83 | #1585 | semidirect |
| 85. #322 | D83 | semidirect |