Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 94 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. C2×#11763865 | C2 | semidirect |
| 2. C2×#11763724 | C2 | semidirect |
| 3. #14544664 | C2 | semidirect |
| 4. #14543845 | C2 | semidirect |
| 58. #10587529 | D4 | semidirect |
| 246. C17 | #13064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763865 | 2 |
| C2×#11763724 | 2 |
| #14544664 | 2 |
| #14543845 | 2 |
| #14538367 | 2 |
| #13064 | 17 |