Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
116 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 4. C2×Dic332 | C4 | semidirect |
| 7. #14581726 | C4 | semidirect |
| 55. C83 | #1348 | semidirect |