Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
338 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 11. C2×#10596942 | C4 | semidirect |
| 76. C2×C4×C37 | Q16 | semidirect |
| 127. C37 | #1878 | semidirect |
| 206. C2×C4 | #10596942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596942 | 2 |
| C2×C4×Dic74 | 2 |
| C2×#11924460 | 2 |
| C2×#11924459 | 2 |
| #14557295 | 2 |
| #14557288 | 2 |
| C37×#391 | 2 |
| #1878 | 37 |