Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
658 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 658 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. C2×#19128066 | C2 | semidirect |
| 3. #24915515 | C2 | semidirect |
| 4. #24908286 | C2 | semidirect |
| 5. C2×#19127442 | C2 | semidirect |
| 6. C2×#19127440 | C2 | semidirect |
| 7. C83×#1295 | C2 | semidirect |
| 217. #1295 | D83 | semidirect |
| 218. C83 | #10079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19128090 | 2 |
| C2×#19128066 | 2 |
| #24915515 | 2 |
| #24908286 | 2 |
| C2×#19127442 | 2 |
| C2×#19127440 | 2 |
| C83×#1295 | 2 |
| #10079 | 83 |