Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
400 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 181 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. #31826524 | C2 | semidirect |
| 3. #31826516 | C2 | semidirect |
| 4. #31826491 | C2 | semidirect |
| 6. C4×#17985376 | C2 | semidirect |
| 7. C2×C4×C8×C283 | C2 | semidirect |
| 77. C283 | #2922 | semidirect |
| 85. C2×C4×C8 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#17985392 | 2 |
| #31826524 | 2 |
| #31826516 | 2 |
| #31826491 | 2 |
| #31826431 | 2 |
| C4×#17985376 | 2 |
| C2×C4×C8×C283 | 2 |
| #2922 | 283 |