Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
474 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 11. #19127997 | C4 | semidirect |
| 12. #19127912 | C4 | semidirect |
| 101. C4×Dic83 | Q16 | semidirect |
| 186. C83 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917503 | 2 |
| #24909937 | 2 |
| #24908439 | 2 |
| #24905961 | 2 |
| #24905891 | 2 |
| #24905295 | 2 |
| C83×#1303 | 2 |
| #9236 | 83 |