Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
256 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11924446 | C4 | semidirect |
| 63. C8×C37 | C4⋊C4 | semidirect |
| 64. #64436 | C4⋊C4 | semidirect |
| 92. C37 | #1847 | semidirect |
| 149. C8 | #10596936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924469 | 2 |
| C2×#11924468 | 2 |
| C2×#11924467 | 2 |
| C2×#11924446 | 2 |
| #14557402 | 2 |
| #14557398 | 2 |
| C2×#107×C37 | 2 |
| #1847 | 37 |