Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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×#22627683 | C2 | semidirect |
| 2. #34037071 | C2 | semidirect |
| 3. C4×C22⋊#11924078 | C2 | semidirect |
| 12. C22×D1172 | C4 | semidirect |
| 19. C2×#17989779 | C4 | semidirect |
| 20. C2×C4⋊C4×C293 | C4 | semidirect |
| 26. C22⋊#11924078 | D4 | semidirect |
| 104. C4×C293 | #99 | semidirect |
| 115. C293 | #1964 | semidirect |
| 129. C2×C4⋊C4 | #11924078 | semidirect |
| 222. C4 | #22627683 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627683 | 2 |
| #34037071 | 2 |
| C4×C22⋊#11924078 | 2 |
| C2×#22627599 | 2 |
| #1964 | 293 |