Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 169 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. C2×C4×#63241 | C2 | semidirect |
| 4. #14545854 | C2 | semidirect |
| 7. C2×#10587665 | C4 | semidirect |
| 11. #11763906 | C4 | semidirect |
| 64. #63241 | C22⋊C4 | semidirect |
| 65. #63227 | C16 | semidirect |
| 79. C2×C4×C17 | C2×C16 | semidirect |
| 82. C2×Dic17 | C2×C16 | semidirect |
| 109. C2×D17 | C4×C16 | semidirect |
| 157. C17 | C16×C22⋊C4 | semidirect |
| 204. C2×C4 | #10587665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587665 | 2 |
| C2×#11763906 | 2 |
| C2×C4×#63241 | 2 |
| #14545854 | 2 |
| #14544518 | 2 |
| C16×C22⋊C4 | 17 |