Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
164 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 6. #22627691 | C4 | semidirect |
| 13. #22627535 | C4 | semidirect |
| 14. #97×C293 | C4 | semidirect |
| 62. C293 | #1285 | semidirect |
| 76. #97 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037152 | 2 |
| C4×C4⋊#11924078 | 2 |
| #34036184 | 2 |
| #1285 | 293 |