Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
528 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 528 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. #24917985 | C2 | semidirect |
| 5. #24905865 | C2 | semidirect |
| 6. #24905293 | C2 | semidirect |
| 7. C83×#1481 | C2 | semidirect |
| 99. C2×C83⋊C8 | SD16 | semidirect |
| 201. #1481 | D83 | semidirect |
| 203. C83 | #10036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917985 | 2 |
| #24917472 | 2 |
| #24917467 | 2 |
| #24908260 | 2 |
| #24905865 | 2 |
| #24905293 | 2 |
| C83×#1481 | 2 |
| #10036 | 83 |