Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
112 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 112 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 |
|---|---|---|
| 1. C2×#22604408 | C2 | semidirect |
| 4. #32914629 | C2 | semidirect |
| 5. #32914593 | C2 | semidirect |
| 7. #103×C577 | C2 | semidirect |
| 51. C577 | #464 | semidirect |
| 58. #103 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604408 | 2 |
| C2×#22604407 | 2 |
| #32914653 | 2 |
| #32914629 | 2 |
| #32914593 | 2 |
| #32914584 | 2 |
| #103×C577 | 2 |
| #464 | 577 |