Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
350 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 2. #14543699 | C2 | semidirect |
| 3. #14543697 | C2 | semidirect |
| 44. C8×D17 | C16 | semidirect |
| 60. C8×C17 | C2×C16 | semidirect |
| 62. #3622 | C2×C16 | semidirect |
| 91. D17 | #1312 | semidirect |
| 107. C17 | C2×#1312 | semidirect |
| 139. C8 | #10587529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587529 | 2 |
| #14543699 | 2 |
| #14543697 | 2 |
| C82×D17 | 2 |
| C2×#1312 | 17 |