Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
300 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 70 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. C2×#22627695 | C2 | semidirect |
| 2. C2×#22627688 | C2 | semidirect |
| 3. #34037103 | C2 | semidirect |
| 4. C2×C8×#11924078 | C2 | semidirect |
| 16. C2×Dic1172 | C4 | semidirect |
| 17. C2×#17989790 | C4 | semidirect |
| 19. C2×D8×C293 | C4 | semidirect |
| 85. C293 | #1974 | semidirect |
| 97. C2×D8 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627695 | 2 |
| C2×#22627688 | 2 |
| #34037103 | 2 |
| C2×C8×#11924078 | 2 |
| C2×#22627643 | 2 |
| #1974 | 293 |