Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #34039280 | C2 | semidirect |
| 2. #34039276 | C2 | semidirect |
| 3. #34039270 | C2 | semidirect |
| 4. #34039269 | C2 | semidirect |
| 5. #34039261 | C2 | semidirect |
| 7. #34039245 | C2 | semidirect |
| 8. C2×#23748712 | C2 | semidirect |
| 9. C22⋊Q8×C593 | C2 | semidirect |
| 66. C593 | #539 | semidirect |
| 73. C22⋊Q8 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34039280 | 2 |
| #34039276 | 2 |
| #34039270 | 2 |
| #34039269 | 2 |
| #34039261 | 2 |
| #34039259 | 2 |
| #34039245 | 2 |
| C2×#23748712 | 2 |
| C22⋊Q8×C593 | 2 |
| #539 | 593 |