Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 4. C2×Dic664 | C4 | semidirect |
| 7. #19127529 | C4 | semidirect |
| 69. C83 | #7423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24909571 | 2 |
| #24905565 | 2 |
| C83×#1400 | 2 |
| #7423 | 83 |