Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 3. #14557576 | C2 | semidirect |
| 4. #14557573 | C2 | semidirect |
| 5. #14557569 | C2 | semidirect |
| 6. C2×#11924467 | C2 | semidirect |
| 8. #11924543 | C4 | semidirect |
| 42. #10596934 | C2×C4 | semidirect |
| 43. C2×#64436 | C2×C4 | semidirect |
| 84. C37 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924543 | 2 |
| #14558016 | 2 |
| #14557576 | 2 |
| #14557573 | 2 |
| #14557569 | 2 |
| C2×#11924467 | 2 |
| C37×#520 | 2 |
| #2912 | 37 |