Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
304 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 77 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. C4×C22⋊Dic83 | C2 | semidirect |
| 3. #19127439 | C2 | semidirect |
| 4. #19127436 | C2 | semidirect |
| 5. C2×C22⋊C8×C83 | C2 | semidirect |
| 6. C2×#13050590 | C4 | semidirect |
| 8. #14581771 | C4 | semidirect |
| 10. #14581766 | C4 | semidirect |
| 15. #14581751 | C4 | semidirect |
| 113. C83 | #1501 | semidirect |
| 115. C2×C22⋊C8 | D83 | semidirect |