Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
476 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036930 | C2 | semidirect |
| 2. #34036396 | C2 | semidirect |
| 3. #34036296 | C2 | semidirect |
| 4. #34036247 | C2 | semidirect |
| 5. #493×C293 | C2 | semidirect |
| 6. #22627669 | C22 | semidirect |
| 7. #22627650 | C22 | semidirect |
| 12. #22627630 | C22 | semidirect |
| 13. #22627560 | C22 | semidirect |
| 14. #22627552 | C22 | semidirect |
| 15. #22627541 | C22 | semidirect |
| 16. C2×D8×C293 | C22 | semidirect |
| 17. #127×C293 | C22 | semidirect |
| 18. C4×C8×C293 | C22 | semidirect |
| 23. Dic1172 | D4 | semidirect |
| 24. #17989791 | D4 | semidirect |
| 26. D2344 | D4 | semidirect |
| 64. C293 | #3292 | semidirect |
| 67. #493 | D293 | semidirect |
| 77. C2×D8 | C2×D293 | semidirect |
| 79. #127 | C2×D293 | semidirect |
| 83. C4×C8 | C2×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036930 | 2 |
| #34036396 | 2 |
| #34036296 | 2 |
| #34036247 | 2 |
| #493×C293 | 2 |
| #3292 | 293 |