Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#11924567 | C2 | semidirect |
| 3. C2×#11924463 | C2 | semidirect |
| 4. C2×#11924462 | C2 | semidirect |
| 5. #14557440 | C2 | semidirect |
| 6. #14557301 | C2 | semidirect |
| 7. C2×#137×C37 | C2 | semidirect |
| 41. C2×Q8×C37 | D4 | semidirect |
| 61. M16×C37 | D4 | semidirect |
| 73. #10596934 | D4 | semidirect |
| 146. C2×#137 | D37 | semidirect |
| 152. C37 | #2007 | semidirect |
| 191. C2×Q8 | C22⋊D37 | semidirect |
| 210. M16 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924567 | 2 |
| #14558111 | 2 |
| C2×#11924463 | 2 |
| C2×#11924462 | 2 |
| #14557440 | 2 |
| #14557301 | 2 |
| C2×#137×C37 | 2 |
| #2007 | 37 |