Finite Group DatabasebetaFinite Group DatabasebetaOrder 21568.
150 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 48 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. D337⋊M16 | C2 | semidirect |
| 2. #24925020 | C2 | semidirect |
| 3. #24925019 | C2 | semidirect |
| 52. C337 | #413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D337⋊M16 | 2 |
| #24925020 | 2 |
| #24925019 | 2 |
| C2×#19129185 | 2 |
| #413 | 337 |