Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
292 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 53. C4×C283 | #101 | semidirect |
| 61. C283 | #1966 | semidirect |
| 116. C4 | #22583528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583610 | 2 |
| C2×#22583528 | 2 |
| C4×#17985376 | 2 |
| #423×C283 | 2 |
| #1966 | 283 |