Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
528 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 101. C4×Dic79 | Q16 | semidirect |
| 201. C79 | #10017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23773435 | 2 |
| #23766691 | 2 |
| #23764382 | 2 |
| #23761830 | 2 |
| #23761829 | 2 |
| #23761228 | 2 |
| C79×#3104 | 2 |
| #10017 | 79 |