Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
536 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 536 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. C2×#19128036 | C2 | semidirect |
| 3. #24907543 | C2 | semidirect |
| 4. #24905826 | C2 | semidirect |
| 6. #24905351 | C2 | semidirect |
| 201. C83 | #9994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918269 | 2 |
| C2×#19128036 | 2 |
| #24907543 | 2 |
| #24905826 | 2 |
| #24905823 | 2 |
| #24905351 | 2 |
| C2×#480×C83 | 2 |
| #9994 | 83 |