Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
202 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 8. C2×#10587467 | C4 | semidirect |
| 12. C2×#10587465 | C4 | semidirect |
| 15. C2×C17×C32 | C4 | semidirect |
| 55. C2×#595 | C32 | semidirect |
| 89. C2×C32 | #595 | semidirect |
| 114. C17 | #7465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763740 | 2 |
| C2×C16×#595 | 2 |
| C2×C32×D17 | 2 |
| #7465 | 17 |