Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #19127825 | C2 | semidirect |
| 4. #19127431 | C2 | semidirect |
| 6. #19127422 | C2 | semidirect |
| 7. #335×C83 | C2 | semidirect |
| 26. #13050579 | C8 | semidirect |
| 53. Dic166 | C2×C8 | semidirect |
| 57. C8×C83 | C2×C8 | semidirect |
| 78. C83 | SD16⋊C8 | semidirect |
| 82. #335 | D83 | semidirect |
| 138. C8 | C8×D83 | semidirect |