Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #34036496 | C2 | direct (N × H) |
| 96. C2×C293 | #491 | semidirect |
| 100. C293 | C2×#491 | semidirect |
| 197. C2 | #34036496 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627622 | 2 |
| C2×#22627615 | 2 |
| #34036496 | 2 |
| C2×#22627549 | 2 |
| C2×#22627548 | 2 |
| C2×#22627547 | 2 |
| C2×#22627534 | 2 |
| C2×#103×C293 | 2 |
| C2×#491 | 293 |