Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
166 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 66 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. #34036993 | C2 | semidirect |
| 4. #34036992 | C2 | semidirect |
| 5. #34036991 | C2 | semidirect |
| 6. #34036990 | C2 | semidirect |
| 53. #14556873 | M16 | semidirect |
| 60. C8×C293 | M16 | semidirect |
| 77. C293 | #1569 | semidirect |
| 138. C8 | #17989811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037150 | 2 |
| #34037132 | 2 |
| #34036993 | 2 |
| #34036992 | 2 |
| #34036991 | 2 |
| #34036990 | 2 |
| M16×Dic293 | 2 |
| #1569 | 293 |