Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
250 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 59 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. D4×Dic586 | C2 | semidirect |
| 2. #34036476 | C2 | semidirect |
| 3. #34036330 | C2 | semidirect |
| 5. #34035876 | C2 | semidirect |
| 6. #34035861 | C2 | semidirect |
| 7. D4⋊C8×C293 | C2 | semidirect |
| 56. Dic586 | D8 | semidirect |
| 69. D4×C293 | SD16 | semidirect |
| 99. C293 | #1627 | semidirect |
| 107. D4⋊C8 | D293 | semidirect |
| 164. D4 | #17989791 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic586 | 2 |
| #34036476 | 2 |
| #34036330 | 2 |
| #34036324 | 2 |
| #34035876 | 2 |
| #34035861 | 2 |
| D4⋊C8×C293 | 2 |
| #1627 | 293 |