Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 17. C4×#3633 | C8 | semidirect |
| 21. C4×#3624 | C8 | semidirect |
| 22. C4×C8×C17 | C8 | semidirect |
| 24. C4×#3622 | C8 | semidirect |
| 112. C4×C8 | #3633 | semidirect |
| 113. C17 | #7014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545918 | 2 |
| #14544497 | 2 |
| #7014 | 17 |