Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
494 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 147 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. #24907620 | C2 | semidirect |
| 3. #24907590 | C2 | semidirect |
| 4. C83⋊#1273 | C2 | semidirect |
| 114. C83 | #10677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908270 | 2 |
| #24907620 | 2 |
| #24907590 | 2 |
| C83⋊#1273 | 2 |
| C83×#1957 | 2 |
| #10677 | 83 |