Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
282 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 228. C13 | #9587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130414 | 2 |
| #13130186 | 2 |
| #13130159 | 2 |
| #13130052 | 2 |
| #13129722 | 2 |
| #13129667 | 2 |
| #13113499 | 2 |
| #9587 | 13 |