Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
318 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 146. C67 | #13479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22561998 | 2 |
| C2×#16863216 | 2 |
| C2×#16863212 | 2 |
| #22561071 | 2 |
| #22560958 | 2 |
| #22558318 | 2 |
| C67×#2141 | 2 |
| #13479 | 67 |