Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
392 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 154 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. #34037154 | C2 | semidirect |
| 2. #34037153 | C2 | semidirect |
| 3. #34037134 | C2 | semidirect |
| 4. #34037133 | C2 | semidirect |
| 6. C4×#17989812 | C2 | semidirect |
| 10. #22627691 | C22 | semidirect |
| 11. C4⋊#14556880 | C22 | semidirect |
| 14. #22627679 | C22 | semidirect |
| 15. C4×#14556880 | C22 | semidirect |
| 104. C293 | #2921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037154 | 2 |
| #34037153 | 2 |
| #34037134 | 2 |
| #34037133 | 2 |
| #34037100 | 2 |
| C4×#17989812 | 2 |
| #117×D293 | 2 |
| #2921 | 293 |