Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
158 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 89. C17 | #2102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762857 | 2 |
| #11762833 | 2 |
| #11762580 | 2 |
| #11762579 | 2 |
| #11762569 | 2 |
| #11762565 | 2 |
| C17×#339 | 2 |
| #2102 | 17 |