Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1342 conjugacy classes of subgroups; only the 230 normal subgroups are shown.
This group has 1342 conjugacy classes of subgroups — too many to draw. Only its 230 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. #14545373 | C2 | semidirect |
| 2. #14544059 | C2 | semidirect |
| 3. #14544039 | C2 | semidirect |
| 4. #14544019 | C2 | semidirect |
| 130. C2×Dic17 | #131 | semidirect |
| 223. C17 | #17419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545373 | 2 |
| #14544059 | 2 |
| #14544039 | 2 |
| #14544019 | 2 |
| C2×#11763478 | 2 |
| #17419 | 17 |