Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
412 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 2. C2×#22627679 | C2 | semidirect |
| 3. #34036995 | C2 | semidirect |
| 6. C22⋊#14556880 | C4 | semidirect |
| 18. C2×#14556880 | C2×C4 | semidirect |
| 75. C22×C293 | #97 | semidirect |
| 97. C293 | #1749 | semidirect |
| 173. C22 | #22627679 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#14556880 | 2 |
| C2×#22627679 | 2 |
| #34036995 | 2 |
| C22×C4×Dic293 | 2 |
| #1749 | 293 |