Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
270 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 2. C2×Q8×D577 | C2 | semidirect |
| 3. #32914663 | C2 | semidirect |
| 4. #32914650 | C2 | semidirect |
| 5. #32914649 | C2 | semidirect |
| 6. #32914646 | C2 | semidirect |
| 7. #32914644 | C2 | semidirect |
| 8. #32914643 | C2 | semidirect |
| 9. #32914640 | C2 | semidirect |
| 10. #32914622 | C2 | semidirect |
| 11. C22⋊Q8×C577 | C2 | semidirect |
| 83. C577 | #536 | semidirect |
| 94. C22⋊Q8 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604418 | 2 |
| C2×Q8×D577 | 2 |
| #32914663 | 2 |
| #32914650 | 2 |
| #32914649 | 2 |
| #32914646 | 2 |
| #32914644 | 2 |
| #32914643 | 2 |
| #32914640 | 2 |
| #32914622 | 2 |
| C22⋊Q8×C577 | 2 |
| #536 | 577 |