Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C2×#11924479 | C2 | semidirect |
| 3. #14557918 | C2 | semidirect |
| 4. #14557615 | C2 | semidirect |
| 5. #14557351 | C2 | semidirect |
| 6. #14557333 | C2 | semidirect |
| 7. C37×#358 | C2 | semidirect |
| 82. #358 | D37 | semidirect |
| 84. C37 | #2210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924479 | 2 |
| C2×D592 | 2 |
| #14557918 | 2 |
| #14557615 | 2 |
| #14557351 | 2 |
| #14557333 | 2 |
| C37×#358 | 2 |
| #2210 | 37 |