Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
230 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 6. C4⋊(C67⋊C16) | C4 | semidirect |
| 13. #334×C67 | C4 | semidirect |
| 90. C67 | #7301 | semidirect |
| 100. #334 | Dic67 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22562012 | 2 |
| C4×#14523977 | 2 |
| C67×#1568 | 2 |
| #7301 | 67 |