Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
292 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#22583536 | C2 | semidirect |
| 3. #31826433 | C2 | semidirect |
| 4. C2×#22583520 | C2 | semidirect |
| 5. C2×#108×C283 | C2 | semidirect |
| 9. C2×Dic1132 | C4 | semidirect |
| 10. C2×#17985381 | C4 | semidirect |
| 11. C2×D2264 | C4 | semidirect |
| 85. C283 | #1975 | semidirect |
| 88. C2×#108 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583632 | 2 |
| C2×#22583536 | 2 |
| #31826433 | 2 |
| C2×#22583520 | 2 |
| C2×#108×C283 | 2 |
| #1975 | 283 |