Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #24908449 | C2 | semidirect |
| 4. #24907887 | C2 | semidirect |
| 5. #24907640 | C2 | semidirect |
| 6. #24905331 | C2 | semidirect |
| 101. C22⋊Dic83 | SD16 | semidirect |
| 258. C83 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908449 | 2 |
| #24908300 | 2 |
| #24907892 | 2 |
| #24907887 | 2 |
| #24907640 | 2 |
| #24905331 | 2 |
| C83×#3187 | 2 |
| #10565 | 83 |