Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
486 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14528820 | C2 | semidirect |
| 4. #14526660 | C2 | semidirect |
| 105. C23×C17 | #108 | semidirect |
| 124. C2×C4×C17 | #108 | semidirect |
| 217. C17 | #8611 | semidirect |
| 268. C23 | #10587493 | semidirect |
| 287. C2×C4 | #10587493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×#3622 | 2 |
| #14528820 | 2 |
| #14527122 | 2 |
| #14526660 | 2 |
| C17×#1465 | 2 |
| #8611 | 17 |