Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
176 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 55 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. #34036475 | C2 | semidirect |
| 2. #34036419 | C2 | semidirect |
| 3. D4×#14556873 | C2 | semidirect |
| 4. #34035879 | C2 | semidirect |
| 5. #34035877 | C2 | semidirect |
| 6. #34035873 | C2 | semidirect |
| 82. C293 | #1677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036475 | 2 |
| #34036419 | 2 |
| D4×#14556873 | 2 |
| #34035879 | 2 |
| #34035877 | 2 |
| #34035873 | 2 |
| #459×C293 | 2 |
| #1677 | 293 |