Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
630 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14528940 | C2 | semidirect |
| 2. #14528784 | C2 | semidirect |
| 3. C2×D4⋊#3622 | C2 | semidirect |
| 4. #14526667 | C2 | semidirect |
| 43. C4×#3622 | D4 | semidirect |
| 191. C17 | #10432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528940 | 2 |
| #14528784 | 2 |
| C2×D4⋊#3622 | 2 |
| #14526667 | 2 |
| C17×#2537 | 2 |
| #10432 | 17 |