Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
132 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 64. C83 | #2245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19128102 | 2 |
| #19128079 | 2 |
| #19127506 | 2 |
| #19127505 | 2 |
| #19127504 | 2 |
| #19127476 | 2 |
| #358×C83 | 2 |
| #2245 | 83 |