Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
272 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 14. #22583543 | C4 | semidirect |
| 15. #22583541 | C4 | semidirect |
| 16. #22583520 | C4 | semidirect |
| 59. C283⋊C8 | C42 | semidirect |
| 98. C283 | #1776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583543 | 2 |
| C2×#22583541 | 2 |
| C2×#22583520 | 2 |
| C4⋊C4×Dic283 | 2 |
| #31826228 | 2 |
| #340×C283 | 2 |
| #1776 | 283 |