Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
312 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 3. C2×#22627687 | C2 | semidirect |
| 4. D293⋊#101 | C2 | semidirect |
| 5. #34037008 | C2 | semidirect |
| 6. #34037004 | C2 | semidirect |
| 24. #22627657 | C4 | semidirect |
| 26. #22627655 | C4 | semidirect |
| 27. #22627654 | C4 | semidirect |
| 32. #137×C293 | C4 | semidirect |
| 147. C293 | #1908 | semidirect |
| 163. #137 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D293⋊#131 | 2 |
| #34037120 | 2 |
| C2×#22627687 | 2 |
| D293⋊#101 | 2 |
| #34037008 | 2 |
| #34037004 | 2 |
| #137×D293 | 2 |
| #1908 | 293 |