Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
552 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 2. C2×#11924501 | C2 | semidirect |
| 4. #14557624 | C2 | direct (N × H) |
| 5. C2×#11924467 | C2 | semidirect |
| 6. C2×#11924461 | C2 | semidirect |
| 7. C2×C8×Dic37 | C2 | semidirect |
| 11. C2×#10596940 | C4 | semidirect |
| 15. #11924501 | C22 | semidirect |
| 23. #11924467 | C22 | semidirect |
| 24. #11924461 | C22 | semidirect |
| 25. C8×Dic37 | C22 | semidirect |
| 45. C2×Dic74 | C2×C4 | semidirect |
| 52. #10596940 | C2×C4 | semidirect |
| 59. C2×#64436 | C2×C4 | semidirect |
| 81. C2×Dic37 | SD16 | semidirect |
| 86. Dic74 | C22×C4 | semidirect |
| 88. #64436 | C22×C4 | semidirect |
| 104. Dic37 | C2×SD16 | semidirect |
| 107. C2×C37 | C4×SD16 | semidirect |
| 119. C37 | C2×C4×SD16 | semidirect |
| 217. C2 | #14557624 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596940 | 2 |
| C2×#11924501 | 2 |
| C2×D4×Dic37 | 2 |
| #14557624 | 2 |
| C2×#11924467 | 2 |
| C2×#11924461 | 2 |
| C2×C8×Dic37 | 2 |
| C2×#102×C37 | 2 |
| C2×C4×SD16 | 37 |