Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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×#22604405 | C2 | semidirect |
| 2. C22×#17987230 | C2 | semidirect |
| 4. #32914595 | C2 | semidirect |
| 5. #32914588 | C2 | semidirect |
| 6. #32914584 | C2 | semidirect |
| 7. C22⋊Q8×C577 | C2 | semidirect |
| 27. #17987230 | D4 | semidirect |
| 39. C22×C577 | SD16 | semidirect |
| 55. C577 | #465 | semidirect |
| 59. C22⋊Q8 | D577 | semidirect |
| 98. C22 | #22604405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604405 | 2 |
| C22×#17987230 | 2 |
| #32914638 | 2 |
| #32914595 | 2 |
| #32914588 | 2 |
| #32914584 | 2 |
| C22⋊Q8×C577 | 2 |
| #465 | 577 |