Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
344 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 344 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 |
|---|---|---|
| 243. C13 | #10494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125977 | 2 |
| #13115824 | 2 |
| #13113627 | 2 |
| #13113522 | 2 |
| #13113257 | 2 |
| #13112725 | 2 |
| C13×#1561 | 2 |
| #10494 | 13 |