Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 5. #11763904 | C4 | direct (N × H) |
| 6. C4×#63241 | C4 | semidirect |
| 36. #63241 | C42 | semidirect |
| 66. C4×C17 | #346 | semidirect |
| 68. Dic17 | #346 | semidirect |
| 96. C17 | C4×#346 | semidirect |
| 136. C4 | #11763904 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763904 | 2 |
| C4×#10587665 | 2 |
| C4×C8×#595 | 2 |
| C4×#346 | 17 |