Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
152 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 7. C2×C83⋊C16 | C4 | semidirect |
| 9. #14581726 | C4 | semidirect |
| 13. #107×C83 | C4 | semidirect |
| 66. C83 | #1380 | semidirect |
| 79. #107 | Dic83 | semidirect |