Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
484 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 151 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. #23765543 | C2 | semidirect |
| 4. #23765451 | C2 | semidirect |
| 103. C79 | #33821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23773986 | 2 |
| #23765543 | 2 |
| #23765508 | 2 |
| #23765451 | 2 |
| C79×#2150 | 2 |
| #33821 | 79 |