Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
154 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 1. #31826905 | C2 | semidirect |
| 2. #31826848 | C2 | semidirect |
| 3. #31826582 | C2 | semidirect |
| 4. #31826285 | C2 | semidirect |
| 5. #31826282 | C2 | semidirect |
| 6. #31826278 | C2 | semidirect |
| 74. C283 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31826905 | 2 |
| #31826848 | 2 |
| #31826582 | 2 |
| #31826285 | 2 |
| #31826282 | 2 |
| #31826278 | 2 |
| #509×C283 | 2 |
| #2212 | 283 |