Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
674 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 9. #16863794 | C4 | semidirect |
| 111. C67 | #22253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16863794 | 2 |
| #22562955 | 2 |
| #22561181 | 2 |
| #22560793 | 2 |
| #22560786 | 2 |
| #22559960 | 2 |
| C67×#1835 | 2 |
| #22253 | 67 |