Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
906 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 227 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 |
|---|---|---|
| 1. #13125415 | C2 | semidirect |
| 2. #13125264 | C2 | semidirect |
| 3. #13114507 | C2 | semidirect |
| 4. #13114502 | C2 | semidirect |
| 5. C2×C13×#322 | C2 | semidirect |
| 50. C2×C8×C13 | D8 | semidirect |
| 66. C2×#322 | D13 | semidirect |
| 144. C2×C8 | D104 | semidirect |
| 152. C13 | #19616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125415 | 2 |
| #13125264 | 2 |
| #13114507 | 2 |
| #13114502 | 2 |
| C2×C13×#322 | 2 |
| #19616 | 13 |