Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
292 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 71. C4×C293 | #101 | semidirect |
| 74. Dic293 | #101 | semidirect |
| 82. C293 | #1966 | semidirect |
| 160. C4 | #22627685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037132 | 2 |
| C2×#22627685 | 2 |
| C4×#17989811 | 2 |
| C2×#22627623 | 2 |
| #1966 | 293 |