Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
540 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 162 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. #34037080 | C2 | semidirect |
| 3. #34037079 | C2 | semidirect |
| 4. #34037072 | C2 | semidirect |
| 5. #34037071 | C2 | semidirect |
| 6. C4×C4⋊#11924078 | C2 | semidirect |
| 7. #34037065 | C2 | semidirect |
| 22. C4×D1172 | C4 | semidirect |
| 23. D4×Dic293 | C4 | semidirect |
| 24. #22627586 | C4 | semidirect |
| 25. C4×C22⋊D293 | C4 | semidirect |
| 26. #22627584 | C4 | semidirect |
| 30. C4×D4×C293 | C4 | semidirect |
| 132. C293 | #2319 | semidirect |
| 149. C4×D4 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037081 | 2 |
| #34037080 | 2 |
| #34037079 | 2 |
| #34037072 | 2 |
| #34037071 | 2 |
| C4×C4⋊#11924078 | 2 |
| #34037065 | 2 |
| C4×D4×D293 | 2 |
| #2319 | 293 |