Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
270 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 79 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×#11762644 | C2 | semidirect |
| 2. #14531034 | C2 | semidirect |
| 3. C4×#10587465 | C2 | semidirect |
| 4. C17×#2246 | C2 | semidirect |
| 27. #10587465 | D4 | semidirect |
| 59. #2246 | D17 | semidirect |
| 66. C4×C17 | D32 | semidirect |
| 96. C17 | #13725 | semidirect |
| 130. C4 | #11762644 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762644 | 2 |
| #14531034 | 2 |
| C4×#10587465 | 2 |
| C17×#2246 | 2 |
| #13725 | 17 |