Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
484 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 97 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×#16863764 | 2 |
| #22568276 | 2 |
| #22561183 | 2 |
| C2×#16863138 | 2 |
| C2×#16863137 | 2 |
| #22558091 | 2 |
| C2×#501×C67 | 2 |
| #10084 | 67 |