Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #34036682 | C2 | semidirect |
| 5. #34035901 | C2 | semidirect |
| 6. #34035888 | C2 | semidirect |
| 7. H(3,ℤ/4)×C293 | C2 | semidirect |
| 28. C2×Dic586 | Q8 | semidirect |
| 29. C2×D1172 | Q8 | semidirect |
| 102. C293 | #2031 | semidirect |
| 110. H(3,ℤ/4) | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036682 | 2 |
| #34036147 | 2 |
| C2×#22627550 | 2 |
| #34036102 | 2 |
| #34035901 | 2 |
| #34035888 | 2 |
| H(3,ℤ/4)×C293 | 2 |
| #2031 | 293 |