Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #34036442 | C2 | semidirect |
| 3. #34036424 | C2 | semidirect |
| 4. #34036329 | C2 | semidirect |
| 5. #34036268 | C2 | semidirect |
| 6. #34036227 | C2 | semidirect |
| 7. #34036186 | C2 | semidirect |
| 8. C2×C4×Q8×C293 | C2 | semidirect |
| 76. Q8×C293 | #41 | semidirect |
| 111. C293 | #3112 | semidirect |
| 114. C2×C4×Q8 | D293 | semidirect |
| 181. Q8 | #17989802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036679 | 2 |
| #34036442 | 2 |
| #34036424 | 2 |
| #34036329 | 2 |
| #34036268 | 2 |
| #34036227 | 2 |
| #34036186 | 2 |
| C2×C4×Q8×C293 | 2 |
| #3112 | 293 |