Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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×#23748723 | C2 | semidirect |
| 3. C2×#23748720 | C2 | semidirect |
| 4. #34039208 | C2 | semidirect |
| 5. #34039205 | C2 | semidirect |
| 6. C22⋊#18011654 | C2 | semidirect |
| 7. C22⋊Q8×C593 | C2 | semidirect |
| 60. C593 | #452 | semidirect |
| 65. C22⋊Q8 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#23748733 | 2 |
| C2×#23748723 | 2 |
| C2×#23748720 | 2 |
| #34039208 | 2 |
| #34039205 | 2 |
| C22⋊#18011654 | 2 |
| C22⋊Q8×C593 | 2 |
| #452 | 593 |