Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
1104 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1104 conjugacy classes of subgroups — too many to draw. Only its 210 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×#22627703 | C2 | semidirect |
| 2. #34037081 | C2 | semidirect |
| 3. #34037070 | C2 | semidirect |
| 6. C2×C4⋊#11924078 | C22 | semidirect |
| 8. C2×C22⋊#11924078 | C22 | semidirect |
| 9. C2×C4×#11924078 | C22 | semidirect |
| 11. C22×D1172 | C4 | semidirect |
| 12. C22×C22⋊D293 | C4 | semidirect |
| 14. C2×D4×D293 | C4 | semidirect |
| 17. C22×D4×C293 | C4 | semidirect |
| 60. C2×Dic293 | C22⋊C4 | semidirect |
| 62. C4×D293 | C22⋊C4 | semidirect |
| 70. C2×C4×C293 | C22⋊C4 | semidirect |
| 98. C293 | #2309 | semidirect |
| 110. C22×D4 | #11924078 | semidirect |
| 169. C2×C4 | C22⋊#11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627703 | 2 |
| #34037081 | 2 |
| #34037070 | 2 |
| C22×D4×D293 | 2 |
| #2309 | 293 |