Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
432 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 205 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. #14557302 | C2 | direct (N × H) |
| 6. C2×#10596934 | C4 | semidirect |
| 31. #10596934 | C2×C4 | semidirect |
| 78. C2×C37 | #343 | semidirect |
| 85. C37 | C2×#343 | semidirect |
| 159. C2 | #14557302 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596934 | 2 |
| #14557302 | 2 |
| C22×C4⋊C4×C37 | 2 |
| C2×#343 | 37 |