Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 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. #32914629 | C2 | semidirect |
| 4. #32914597 | C2 | semidirect |
| 5. #32914589 | C2 | semidirect |
| 6. #32914574 | C2 | semidirect |
| 10. #22604406 | C4 | semidirect |
| 21. Dic1154 | C2×C4 | semidirect |
| 27. #17987230 | C2×C4 | semidirect |
| 49. C577 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604406 | 2 |
| #32914629 | 2 |
| D4×Dic577 | 2 |
| #32914597 | 2 |
| #32914589 | 2 |
| #32914574 | 2 |
| #102×C577 | 2 |
| #440 | 577 |