Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
440 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. #24905787 | C2 | semidirect |
| 3. #24905408 | C2 | semidirect |
| 5. C83×#1461 | C2 | semidirect |
| 26. #14581781 | C8 | semidirect |
| 179. #1461 | D83 | semidirect |
| 182. C83 | #11480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24910170 | 2 |
| #24905787 | 2 |
| #24905408 | 2 |
| #24905394 | 2 |
| C83×#1461 | 2 |
| #11480 | 83 |