Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13116974 | C2 | semidirect |
| 3. #13116922 | C2 | semidirect |
| 4. #13116872 | C2 | semidirect |
| 5. C2×C13×C4⋊C16 | C2 | semidirect |
| 73. C2×C4⋊C16 | D13 | semidirect |
| 79. C2×C4×C13 | D16 | semidirect |
| 176. C13 | #33811 | semidirect |
| 190. C2×C4 | D208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125415 | 2 |
| #13116974 | 2 |
| #13116922 | 2 |
| #13116872 | 2 |
| C2×C13×C4⋊C16 | 2 |
| #33811 | 13 |