Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
534 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14545009 | C2 | semidirect |
| 2. #14543707 | C2 | semidirect |
| 3. #14543706 | C2 | semidirect |
| 7. C22⋊#63216 | C22 | semidirect |
| 186. D17 | #1315 | semidirect |
| 216. C17 | C2×#1315 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545009 | 2 |
| #14543707 | 2 |
| #14543706 | 2 |
| D17×#408 | 2 |
| C2×#1315 | 17 |