Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
104 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 40 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. #32914752 | C2 | semidirect |
| 2. #32914751 | C2 | semidirect |
| 3. #32914735 | C2 | semidirect |
| 4. #32914729 | C2 | semidirect |
| 5. #32914728 | C2 | semidirect |
| 6. #32914718 | C2 | semidirect |
| 18. #22604408 | C4 | semidirect |
| 19. #22604407 | C4 | semidirect |
| 20. #22604403 | C4 | semidirect |
| 22. SD16×C577 | C4 | semidirect |
| 51. C577 | #444 | semidirect |
| 64. SD16 | #14556313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914752 | 2 |
| #32914751 | 2 |
| #32914735 | 2 |
| #32914729 | 2 |
| #32914728 | 2 |
| #32914718 | 2 |
| #32914685 | 2 |
| #444 | 577 |