Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 69 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. #31826507 | C2 | semidirect |
| 5. #31826372 | C2 | semidirect |
| 6. #31826226 | C2 | semidirect |
| 7. C2×#101×C283 | C2 | semidirect |
| 120. C283 | #2038 | semidirect |
| 126. C2×#101 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827039 | 2 |
| #31826507 | 2 |
| C2×#22583536 | 2 |
| #31826467 | 2 |
| #31826372 | 2 |
| #31826226 | 2 |
| C2×#101×C283 | 2 |
| #2038 | 283 |