Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
202 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 109 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. C4⋊#10587528 | C2 | semidirect |
| 3. C4×#10587528 | C2 | semidirect |
| 50. C2×C4×C17 | C32 | semidirect |
| 103. C17 | #13639 | semidirect |
| 126. C2×C4 | #10587528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊#10587528 | 2 |
| C22⋊#10587528 | 2 |
| C4×#10587528 | 2 |
| C2×C4×#63216 | 2 |
| #13639 | 17 |