Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
276 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 13. #19127528 | C4 | semidirect |
| 14. #19127526 | C4 | semidirect |
| 128. C83 | #13119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24909249 | 2 |
| #24908216 | 2 |
| #24905571 | 2 |
| #24905570 | 2 |
| #24905561 | 2 |
| #24905543 | 2 |
| C83×#1776 | 2 |
| #13119 | 83 |