Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
364 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 169. C83 | #10554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908238 | 2 |
| #24906153 | 2 |
| #24906135 | 2 |
| C2×#19127447 | 2 |
| #24905866 | 2 |
| #24905314 | 2 |
| C83×#3139 | 2 |
| #10554 | 83 |