Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. #32914658 | C2 | semidirect |
| 2. #32914656 | C2 | semidirect |
| 3. #32914652 | C2 | semidirect |
| 4. #32914647 | C2 | semidirect |
| 5. #32914643 | C2 | semidirect |
| 7. C4×Dic1154 | C2 | semidirect |
| 8. C4×D2308 | C2 | semidirect |
| 9. C4×C22⋊D577 | C2 | semidirect |
| 10. #32914621 | C2 | semidirect |
| 11. C2×C42×C577 | C2 | semidirect |
| 74. C577 | #529 | semidirect |
| 86. C2×C42 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914658 | 2 |
| #32914656 | 2 |
| #32914652 | 2 |
| #32914647 | 2 |
| #32914643 | 2 |
| #32914638 | 2 |
| C4×Dic1154 | 2 |
| C4×D2308 | 2 |
| C4×C22⋊D577 | 2 |
| #32914621 | 2 |
| C2×C42×C577 | 2 |
| #529 | 577 |