Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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. #24907455 | C2 | semidirect |
| 3. #24905470 | C2 | semidirect |
| 4. #24905467 | C2 | semidirect |
| 5. C83×#1459 | C2 | semidirect |
| 206. #1459 | D83 | semidirect |
| 209. C83 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24912419 | 2 |
| #24907455 | 2 |
| #24905470 | 2 |
| #24905467 | 2 |
| C83×#1459 | 2 |
| #11884 | 83 |