Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
406 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 73 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. C2×#22583638 | C2 | semidirect |
| 2. C2×#22583635 | C2 | semidirect |
| 3. #31827043 | C2 | semidirect |
| 4. C2×#22583538 | C2 | semidirect |
| 5. #31826367 | C2 | semidirect |
| 6. #31826233 | C2 | semidirect |
| 7. C2×#104×C283 | C2 | semidirect |
| 43. C2×D1132 | D4 | semidirect |
| 53. #17985376 | D4 | semidirect |
| 72. M16×C283 | D4 | semidirect |
| 152. C283 | #2006 | semidirect |
| 158. C2×#104 | D283 | semidirect |
| 218. M16 | C22⋊D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583638 | 2 |
| C2×#22583635 | 2 |
| #31827043 | 2 |
| C2×#22583538 | 2 |
| #31826367 | 2 |
| #31826233 | 2 |
| C2×#104×C283 | 2 |
| #2006 | 283 |