Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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. #31826514 | C2 | semidirect |
| 3. #31826489 | C2 | semidirect |
| 5. #31826237 | C2 | semidirect |
| 6. #31826225 | C2 | semidirect |
| 21. #104×C283 | C4 | semidirect |
| 22. #104×C283 | C4 | semidirect |
| 97. C283 | #1861 | semidirect |
| 119. #104 | Dic283 | semidirect |
| 120. #104 | Dic283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827232 | 2 |
| #31826514 | 2 |
| #31826489 | 2 |
| #31826482 | 2 |
| #31826237 | 2 |
| #31826225 | 2 |
| C2×#104×C283 | 2 |
| #1861 | 283 |