Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19127547 | C2 | semidirect |
| 3. #19127436 | C2 | semidirect |
| 4. #432×C83 | C2 | semidirect |
| 6. #14581792 | C4 | semidirect |
| 7. #14581789 | C4 | semidirect |
| 12. C4×D332 | C4 | semidirect |
| 84. C83 | #1505 | semidirect |
| 86. #432 | D83 | semidirect |