Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
322 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14545802 | C2 | semidirect |
| 3. #14545801 | C2 | semidirect |
| 66. #3624 | M32 | semidirect |
| 69. C8×C17 | M32 | semidirect |
| 71. #3622 | M32 | semidirect |
| 118. C17 | #11402 | semidirect |
| 157. C8 | #10587666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587666 | 2 |
| #14545802 | 2 |
| #14545801 | 2 |
| C8×#63242 | 2 |
| #11402 | 17 |