Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
260 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 12. #22627691 | C4 | semidirect |
| 13. C4⋊#14556880 | C4 | semidirect |
| 101. C293 | #1768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627691 | 2 |
| C2×C4⋊#14556880 | 2 |
| C2×#22627679 | 2 |
| C2×C4×#14556880 | 2 |
| #34036995 | 2 |
| #34035974 | 2 |
| #1768 | 293 |