Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
758 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13125289 | C2 | semidirect |
| 2. C2×#11718734 | C2 | semidirect |
| 3. #13115677 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113287 | C2 | semidirect |
| 6. #13112672 | C2 | semidirect |
| 7. C13×#3205 | C2 | semidirect |
| 122. #6099 | D8 | semidirect |
| 127. #3205 | D13 | semidirect |
| 328. C13 | #10144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125289 | 2 |
| C2×#11718734 | 2 |
| #13115677 | 2 |
| #13113503 | 2 |
| #13113287 | 2 |
| #13112672 | 2 |
| C13×#3205 | 2 |
| #10144 | 13 |