Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #34036849 | C2 | semidirect |
| 2. #34036476 | C2 | semidirect |
| 3. #34036330 | C2 | semidirect |
| 5. #34035874 | C2 | semidirect |
| 6. #34035861 | C2 | semidirect |
| 7. D4⋊C8×C293 | C2 | semidirect |
| 95. C293 | #1628 | semidirect |
| 103. D4⋊C8 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036849 | 2 |
| #34036476 | 2 |
| #34036330 | 2 |
| #34036324 | 2 |
| #34035874 | 2 |
| #34035861 | 2 |
| D4⋊C8×C293 | 2 |
| #1628 | 293 |