Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
510 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#17985377 | C2 | semidirect |
| 2. C2×#22583531 | C2 | semidirect |
| 3. #31826367 | C2 | semidirect |
| 4. #31826220 | C2 | semidirect |
| 5. C2×#127×C283 | C2 | semidirect |
| 22. C2×D1132 | D4 | semidirect |
| 27. C2×C283⋊C8 | D4 | semidirect |
| 66. C2×C4×C283 | D8 | semidirect |
| 97. C283 | #2011 | semidirect |
| 100. C2×#127 | D283 | semidirect |
| 163. C2×C4 | #17985377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985377 | 2 |
| C2×#22583531 | 2 |
| #31826367 | 2 |
| #31826220 | 2 |
| C2×#127×C283 | 2 |
| #2011 | 283 |