Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
414 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 152 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 |
|---|---|---|
| 11. #11763671 | C4 | semidirect |
| 12. C8×#3624 | C4 | semidirect |
| 91. #3624 | #106 | semidirect |
| 93. #3622 | #97 | semidirect |
| 152. C17 | #8283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544580 | 2 |
| C2×#11763671 | 2 |
| C2×C8×#3624 | 2 |
| #14543620 | 2 |
| #14528672 | 2 |
| #8283 | 17 |