Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
108 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 37 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. #32914689 | C2 | semidirect |
| 2. C2×#22604403 | C2 | semidirect |
| 3. #32914671 | C2 | semidirect |
| 4. #32914599 | C2 | semidirect |
| 5. #32914581 | C2 | semidirect |
| 6. #32914580 | C2 | semidirect |
| 7. AGL(1,ℤ/8)×C577 | C2 | semidirect |
| 53. C577 | #472 | semidirect |
| 56. AGL(1,ℤ/8) | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914689 | 2 |
| C2×#22604403 | 2 |
| #32914671 | 2 |
| #32914599 | 2 |
| #32914581 | 2 |
| #32914580 | 2 |
| AGL(1,ℤ/8)×C577 | 2 |
| #472 | 577 |