Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
500 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 166 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×#22627712 | C2 | semidirect |
| 2. C2×#22627711 | C2 | semidirect |
| 3. #34037162 | C2 | semidirect |
| 4. #34037156 | C2 | semidirect |
| 5. #34037134 | C2 | semidirect |
| 6. #34037104 | C2 | semidirect |
| 7. #34037103 | C2 | semidirect |
| 8. C4×D293⋊C8 | C2 | semidirect |
| 40. D293⋊C8 | D4 | semidirect |
| 107. Dic293 | #131 | semidirect |
| 115. C293 | #2931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627712 | 2 |
| C2×#22627711 | 2 |
| #34037162 | 2 |
| #34037156 | 2 |
| #34037134 | 2 |
| #34037104 | 2 |
| #34037103 | 2 |
| C4×D293⋊C8 | 2 |
| #34036678 | 2 |
| #2931 | 293 |