Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
134 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14545889 | C2 | semidirect |
| 2. #14545888 | C2 | semidirect |
| 3. #14545887 | C2 | semidirect |
| 5. #11763891 | C22 | semidirect |
| 70. D17 | M128 | semidirect |
| 82. C17 | C2×M128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545889 | 2 |
| #14545888 | 2 |
| #14545887 | 2 |
| C2×#11763740 | 2 |
| C2×M128 | 17 |