Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
462 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 155. Dic83 | #362 | semidirect |
| 168. C83 | #13256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19128079 | 2 |
| #24909218 | 2 |
| C2×#19127518 | 2 |
| C2×#19127517 | 2 |
| C2×#19127516 | 2 |
| #108×Dic83 | 2 |
| C2×#362×C83 | 2 |
| #13256 | 83 |