Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
454 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 150. C83 | #9779 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19128080 | 2 |
| #24907600 | 2 |
| #24906136 | 2 |
| #24906135 | 2 |
| #24906134 | 2 |
| #24905756 | 2 |
| C83×#1546 | 2 |
| #9779 | 83 |