Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
480 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 3. #14557641 | C2 | semidirect |
| 4. #14557640 | C2 | semidirect |
| 5. #14557639 | C2 | semidirect |
| 6. #14557638 | C2 | semidirect |
| 7. #14557637 | C2 | semidirect |
| 11. C37×#441 | C2 | semidirect |
| 15. Q16×D37 | C4 | semidirect |
| 49. Q16×C37 | C2×C4 | semidirect |
| 56. #10596942 | C2×C4 | semidirect |
| 69. Dic148 | C2×C4 | semidirect |
| 110. D37 | #441 | direct (N × H) |
| 118. #441 | D37 | direct (N × H) |
| 122. C37 | C2×#441 | semidirect |
| 162. Q16 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D37 | 2 |
| C4×Q8×D37 | 2 |
| #14557641 | 2 |
| #14557640 | 2 |
| #14557639 | 2 |
| #14557638 | 2 |
| #14557637 | 2 |
| #106×D37 | 2 |
| #103×D37 | 2 |
| #97×D37 | 2 |
| C37×#441 | 2 |
| C2×#441 | 37 |