Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
446 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 42. C2×#63231 | C8 | semidirect |
| 262. C17 | #9669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544333 | 2 |
| #14544088 | 2 |
| #14544086 | 2 |
| #14544028 | 2 |
| #14544027 | 2 |
| #14543987 | 2 |
| C2×#11762901 | 2 |
| #9669 | 17 |