Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
240 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #19127450 | C2 | semidirect |
| 5. #19127449 | C2 | semidirect |
| 6. #19127449 | C2 | semidirect |
| 7. #333×C83 | C2 | semidirect |
| 89. C83 | #1548 | semidirect |
| 96. #333 | D83 | semidirect |