Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
182 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 3. #14526988 | C2 | semidirect |
| 4. #14526987 | C2 | semidirect |
| 5. C17×#1425 | C2 | semidirect |
| 61. #1425 | D17 | direct (N × H) |
| 82. D17 | #1425 | direct (N × H) |
| 96. C17 | C2×#1425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×D17 | 2 |
| D17×#368 | 2 |
| #14526988 | 2 |
| #14526987 | 2 |
| C17×#1425 | 2 |
| C2×#1425 | 17 |