Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
198 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 37 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. C83⋊#1309 | C2 | semidirect |
| 3. C83×#1327 | C2 | semidirect |
| 95. #1327 | D83 | semidirect |
| 97. C83 | #7414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908750 | 2 |
| C83⋊#1309 | 2 |
| C83×#1327 | 2 |
| #7414 | 83 |