Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#19097763 | C2 | semidirect |
| 2. #23757580 | C2 | semidirect |
| 3. #23757573 | C2 | semidirect |
| 4. #23757316 | C2 | semidirect |
| 5. #23757297 | C2 | semidirect |
| 90. C157 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19097763 | 2 |
| #23757580 | 2 |
| #23757573 | 2 |
| #23757316 | 2 |
| #23757297 | 2 |
| #23757274 | 2 |
| C4×#41×C157 | 2 |
| #3080 | 157 |