Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
364 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 89 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. #24909260 | C2 | semidirect |
| 3. #24906225 | C2 | semidirect |
| 4. #24905427 | C2 | semidirect |
| 5. #24905425 | C2 | semidirect |
| 6. #24905423 | C2 | semidirect |
| 7. C83×#1332 | C2 | semidirect |
| 163. #1332 | D83 | semidirect |
| 166. C83 | #11659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14581815 | 2 |
| #24909260 | 2 |
| #24906225 | 2 |
| #24905427 | 2 |
| #24905425 | 2 |
| #24905423 | 2 |
| C83×#1332 | 2 |
| #11659 | 83 |