Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 1. C2×#11924559 | C2 | semidirect |
| 2. #14557966 | C2 | direct (N × H) |
| 3. C2×#11924479 | C2 | semidirect |
| 4. C2×D592 | C2 | semidirect |
| 5. C2×C16×D37 | C2 | semidirect |
| 6. C2×Q32×C37 | C2 | semidirect |
| 9. #11924559 | C22 | semidirect |
| 13. #11924479 | C22 | semidirect |
| 14. D592 | C22 | semidirect |
| 16. C16×D37 | C22 | semidirect |
| 18. Q32×C37 | C22 | semidirect |
| 64. C2×C37 | #508 | semidirect |
| 70. C2×Q32 | D37 | semidirect |
| 74. C37 | C2×#508 | semidirect |
| 82. Q32 | C2×D37 | semidirect |
| 133. C2 | #14557966 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| #14557966 | 2 |
| C2×#11924479 | 2 |
| C2×D592 | 2 |
| C2×C16×D37 | 2 |
| C2×Q32×C37 | 2 |
| C2×#508 | 37 |