Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
270 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 112 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. #14543814 | C2 | semidirect |
| 3. #14543813 | C2 | semidirect |
| 75. C8×C17 | M32 | semidirect |
| 79. #3622 | M32 | semidirect |
| 131. C17 | #12004 | semidirect |
| 177. C8 | #10587530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545117 | 2 |
| #14543814 | 2 |
| #14543813 | 2 |
| C82×D17 | 2 |
| #12004 | 17 |