Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
190 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#22604397 | C2 | semidirect |
| 5. #32914571 | C2 | semidirect |
| 6. #32914571 | C2 | semidirect |
| 7. C2×C42×C577 | C2 | semidirect |
| 15. #22604395 | C4 | semidirect |
| 74. C577 | #388 | semidirect |
| 80. C2×C42 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604397 | 2 |
| C2×#22604395 | 2 |
| #32914571 | 2 |
| C2×C42×C577 | 2 |
| #388 | 577 |