Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #34036680 | C2 | semidirect |
| 2. #34036677 | C2 | semidirect |
| 3. #34036532 | C2 | semidirect |
| 4. #34036505 | C2 | semidirect |
| 5. #34036476 | C2 | semidirect |
| 6. #34036364 | C2 | semidirect |
| 7. #34036209 | C2 | semidirect |
| 8. C4×C8×D293 | C2 | semidirect |
| 9. #486×C293 | C2 | semidirect |
| 84. C4×D293 | D8 | semidirect |
| 85. #14556873 | #41 | semidirect |
| 120. C293 | #3169 | semidirect |
| 127. #486 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036680 | 2 |
| #34036677 | 2 |
| #34036532 | 2 |
| #34036505 | 2 |
| #34036476 | 2 |
| #34036364 | 2 |
| #34036209 | 2 |
| C4×C8×D293 | 2 |
| #486×C293 | 2 |
| #3169 | 293 |