Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 39 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. C4⋊C4×D577 | C2 | semidirect |
| 3. #32914597 | C2 | semidirect |
| 4. #32914586 | C2 | semidirect |
| 5. #32914584 | C2 | semidirect |
| 6. #32914576 | C2 | semidirect |
| 7. #107×C577 | C2 | semidirect |
| 52. C577 | #480 | semidirect |
| 57. #107 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914639 | 2 |
| C4⋊C4×D577 | 2 |
| #32914597 | 2 |
| #32914586 | 2 |
| #32914584 | 2 |
| #32914576 | 2 |
| #107×C577 | 2 |
| #480 | 577 |