Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
484 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 181. C67 | #10084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16863802 | 2 |
| C2×#16863764 | 2 |
| #22568277 | 2 |
| C2×#16863137 | 2 |
| #22558090 | 2 |
| C67×#1993 | 2 |
| #10084 | 67 |