Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
256 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 16. C4⋊#14556873 | C4 | semidirect |
| 17. #22627553 | C4 | semidirect |
| 18. C4⋊C8×C293 | C4 | semidirect |
| 79. C4×C293 | #106 | semidirect |
| 83. Dic293 | #106 | semidirect |
| 93. C293 | #1948 | semidirect |
| 111. C4⋊C8 | #11924078 | semidirect |
| 177. C4 | #22627692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627692 | 2 |
| #34037075 | 2 |
| C4×C4⋊#11924078 | 2 |
| #34037003 | 2 |
| C4⋊C8×D293 | 2 |
| #1948 | 293 |