Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 66 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. #14558611 | C2 | semidirect |
| 2. #14558531 | C2 | semidirect |
| 3. #14558525 | C2 | semidirect |
| 4. D37⋊#100 | C2 | semidirect |
| 5. #14558415 | C2 | semidirect |
| 6. #14558402 | C2 | semidirect |
| 22. C2×#10596930 | C4 | semidirect |
| 23. C2×#10596940 | C4 | semidirect |
| 24. C2×#10596939 | C4 | semidirect |
| 26. C2×D8×C37 | C4 | semidirect |
| 133. C37 | #1903 | semidirect |
| 141. C2×D8 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558611 | 2 |
| #14558531 | 2 |
| #14558525 | 2 |
| D37⋊#100 | 2 |
| #14558415 | 2 |
| #14558402 | 2 |
| C2×#11924560 | 2 |
| #1903 | 37 |