Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
222 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 109 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. #32914663 | C2 | semidirect |
| 2. #32914662 | C2 | semidirect |
| 3. #32914654 | C2 | semidirect |
| 7. C4×Dic1154 | C2 | semidirect |
| 8. C4×Dic1154 | C2 | semidirect |
| 11. C4×Q8×C577 | C2 | semidirect |
| 45. C4×D577 | Q8 | semidirect |
| 70. C577 | #533 | semidirect |
| 80. C4×Q8 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914663 | 2 |
| #32914662 | 2 |
| #32914654 | 2 |
| #32914644 | 2 |
| #32914642 | 2 |
| #32914640 | 2 |
| C4×Dic1154 | 2 |
| #32914621 | 2 |
| C42×D577 | 2 |
| C4×Q8×C577 | 2 |
| #533 | 577 |