Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
482 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 115 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×#19127503 | C2 | semidirect |
| 3. #24908329 | C2 | semidirect |
| 4. #24905555 | C2 | semidirect |
| 5. C2×C4⋊C16×C83 | C2 | semidirect |
| 81. C2×C4×C83 | D16 | semidirect |
| 123. C2×C4⋊C16 | D83 | semidirect |
| 127. C83 | #13448 | semidirect |
| 210. C2×C4 | D1328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1328 | 2 |
| C2×#19127503 | 2 |
| #24908329 | 2 |
| #24905555 | 2 |
| C2×C4⋊C16×C83 | 2 |
| #13448 | 83 |