Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
176 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 63 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. #34036208 | C2 | semidirect |
| 3. #34035879 | C2 | semidirect |
| 4. D4⋊#14556873 | C2 | semidirect |
| 5. #34035856 | C2 | semidirect |
| 6. #34035851 | C2 | semidirect |
| 7. #436×C293 | C2 | semidirect |
| 51. #14556873 | M16 | semidirect |
| 83. C293 | #1594 | semidirect |
| 87. #436 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#17989787 | 2 |
| #34036208 | 2 |
| #34035879 | 2 |
| D4⋊#14556873 | 2 |
| #34035856 | 2 |
| #34035851 | 2 |
| #436×C293 | 2 |
| #1594 | 293 |