Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
178 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 53 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×#22627570 | C2 | semidirect |
| 5. #34036507 | C2 | semidirect |
| 6. #34035904 | C2 | semidirect |
| 7. C2×Q32×C293 | C2 | semidirect |
| 73. C293 | #2251 | semidirect |
| 76. C2×Q32 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627570 | 2 |
| C2×#22627569 | 2 |
| C2×#22627567 | 2 |
| #34036514 | 2 |
| #34036507 | 2 |
| #34035904 | 2 |
| C2×Q32×C293 | 2 |
| #2251 | 293 |