Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 307. C13 | #10217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126227 | 2 |
| #13126046 | 2 |
| #13115818 | 2 |
| #13113349 | 2 |
| #13113348 | 2 |
| #13112746 | 2 |
| C13×#3237 | 2 |
| #10217 | 13 |