Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
286 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 68 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. #34037140 | C2 | semidirect |
| 4. #34037073 | C2 | semidirect |
| 5. #34037008 | C2 | semidirect |
| 6. #34037000 | C2 | semidirect |
| 25. #22627552 | C4 | semidirect |
| 26. #22627551 | C4 | semidirect |
| 27. #22627550 | C4 | semidirect |
| 28. #104×C293 | C4 | semidirect |
| 57. #17989786 | C2×C4 | semidirect |
| 61. C4×Dic293 | C2×C4 | semidirect |
| 63. M16×C293 | C2×C4 | semidirect |
| 64. C42×C293 | C2×C4 | semidirect |
| 130. C293 | #1860 | semidirect |
| 156. #104 | #11924078 | semidirect |
| 179. M16 | C2×#11924078 | semidirect |
| 195. C42 | C2×#11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037198 | 2 |
| #34037140 | 2 |
| #34037120 | 2 |
| #34037073 | 2 |
| #34037008 | 2 |
| #34037000 | 2 |
| #104×D293 | 2 |
| #1860 | 293 |