Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
344 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 72 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. #34037146 | C2 | semidirect |
| 2. #34037132 | C2 | semidirect |
| 3. #34036987 | C2 | semidirect |
| 6. #22627691 | C22 | semidirect |
| 7. #22627691 | C22 | semidirect |
| 100. C293 | #1545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037146 | 2 |
| #34037132 | 2 |
| #34036987 | 2 |
| C2×#22627620 | 2 |
| #1545 | 293 |