Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
208 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 5. #14581792 | C4 | semidirect |
| 6. #14581792 | C4 | semidirect |
| 11. C4×Dic166 | C4 | semidirect |
| 75. C83 | #1515 | semidirect |