Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
252 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19127757 | C2 | semidirect |
| 3. C4⋊C8×D83 | C2 | semidirect |
| 4. #19127449 | C2 | semidirect |
| 5. #19127449 | C2 | semidirect |
| 6. #19127445 | C2 | semidirect |
| 7. #331×C83 | C2 | semidirect |
| 96. C83 | #1551 | semidirect |
| 103. #331 | D83 | semidirect |