Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
212 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 59 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. #23765651 | C2 | semidirect |
| 4. Dic79⋊C32 | C2 | semidirect |
| 5. #23761582 | C2 | semidirect |
| 6. #23761581 | C2 | semidirect |
| 89. Dic79 | SD64 | semidirect |
| 102. C79 | #13687 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19098401 | 2 |
| #23765651 | 2 |
| D16×Dic79 | 2 |
| Dic79⋊C32 | 2 |
| #23761582 | 2 |
| #23761581 | 2 |
| C2×SD64×C79 | 2 |
| #13687 | 79 |