Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14557611 | C2 | semidirect |
| 2. #14557284 | C2 | semidirect |
| 3. D4⋊#64436 | C2 | semidirect |
| 4. #14557254 | C2 | semidirect |
| 38. C8×C37 | M16 | semidirect |
| 61. C37 | #1594 | semidirect |
| 97. C8 | #10596934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557611 | 2 |
| #14557284 | 2 |
| D4⋊#64436 | 2 |
| #14557254 | 2 |
| C4×D8×C37 | 2 |
| #1594 | 37 |