Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
336 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 109 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×#22627555 | C2 | semidirect |
| 4. #34035892 | C2 | semidirect |
| 5. #340×C293 | C2 | semidirect |
| 9. C2×C8×D293 | C4 | semidirect |
| 48. #14556873 | C22⋊C4 | semidirect |
| 67. C2×D293 | #106 | semidirect |
| 80. C293 | #1807 | semidirect |
| 86. #340 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D293 | 2 |
| C2×#22627555 | 2 |
| #34035986 | 2 |
| #34035892 | 2 |
| #340×C293 | 2 |
| #1807 | 293 |