Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
450 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 2. #24916105 | C2 | semidirect |
| 3. #24906054 | C2 | semidirect |
| 4. #24905915 | C2 | semidirect |
| 5. #24905903 | C2 | semidirect |
| 6. #24905354 | C2 | semidirect |
| 7. C83×#1278 | C2 | semidirect |
| 208. #1278 | D83 | semidirect |
| 209. C83 | #9213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917524 | 2 |
| #24916105 | 2 |
| #24906054 | 2 |
| #24905915 | 2 |
| #24905903 | 2 |
| #24905354 | 2 |
| C83×#1278 | 2 |
| #9213 | 83 |