Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
604 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 604 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. #24917270 | C2 | semidirect |
| 5. #24905961 | C2 | semidirect |
| 6. #24905857 | C2 | semidirect |
| 7. C83×#1303 | C2 | semidirect |
| 85. C2×Dic166 | SD16 | semidirect |
| 214. #1303 | D83 | semidirect |
| 215. C83 | #10250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918406 | 2 |
| #24917270 | 2 |
| #24912465 | 2 |
| #24906132 | 2 |
| #24905961 | 2 |
| #24905857 | 2 |
| C83×#1303 | 2 |
| #10250 | 83 |