Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
2502 conjugacy classes of subgroups; only the 411 normal subgroups are shown.
This group has 2502 conjugacy classes of subgroups — too many to draw. Only its 411 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 |
|---|---|---|
| 1. C2×#19127569 | C2 | semidirect |
| 2. #24905704 | C2 | semidirect |
| 9. C2×#127×C83 | C4 | semidirect |
| 35. C42×C83 | C22⋊C4 | semidirect |
| 67. C83 | #14661 | semidirect |
| 70. C2×#127 | Dic83 | semidirect |
| 99. C42 | C22⋊Dic83 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19127569 | 2 |
| #24905704 | 2 |
| C22×#127×C83 | 2 |
| #14661 | 83 |