Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
570 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13125966 | C2 | semidirect |
| 2. #13125763 | C2 | semidirect |
| 4. #13115809 | C2 | semidirect |
| 5. #13113397 | C2 | semidirect |
| 6. #13113397 | C2 | semidirect |
| 7. C13×#1281 | C2 | semidirect |
| 106. C2×C8×C13 | SD16 | semidirect |
| 135. #1281 | D13 | semidirect |
| 305. C2×C8 | #6095 | semidirect |
| 323. C13 | #10221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125966 | 2 |
| #13125763 | 2 |
| #13125282 | 2 |
| #13115809 | 2 |
| #13113397 | 2 |
| C13×#1281 | 2 |
| #10221 | 13 |