Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
228 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 25. #100×C79 | C8 | semidirect |
| 110. C79 | #7375 | semidirect |
| 131. #100 | C79⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23761332 | 2 |
| #23761221 | 2 |
| C79×#1856 | 2 |
| #7375 | 79 |