Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
334 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 334 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. #19127665 | C2 | semidirect |
| 3. #19127437 | C2 | semidirect |
| 4. #19127434 | C2 | semidirect |
| 5. C2×#95×C83 | C2 | semidirect |
| 6. C2×#13050590 | C4 | semidirect |
| 9. #14581771 | C4 | semidirect |
| 11. #14581766 | C4 | semidirect |
| 16. #14581751 | C4 | semidirect |
| 24. C2×Dic166 | C2×C4 | semidirect |
| 25. C2×D332 | C2×C4 | semidirect |
| 32. C4⋊Dic83 | C2×C4 | semidirect |
| 33. C4⋊Dic83 | C2×C4 | semidirect |
| 120. C83 | #1504 | semidirect |
| 123. C2×#95 | D83 | semidirect |