Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
950 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 2. #13115773 | C2 | semidirect |
| 3. #13113514 | C2 | semidirect |
| 4. #13113286 | C2 | semidirect |
| 5. C13×#1801 | C2 | semidirect |
| 115. #1801 | D13 | semidirect |
| 285. C13 | #8354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128607 | 2 |
| #13115773 | 2 |
| #13113514 | 2 |
| #13113286 | 2 |
| C13×#1801 | 2 |
| #8354 | 13 |