Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
708 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 126 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. #13130726 | C2 | semidirect |
| 2. C2×#11718290 | C2 | semidirect |
| 3. #13129657 | C2 | semidirect |
| 4. #13129653 | C2 | semidirect |
| 30. C2×#6127 | C8 | semidirect |
| 89. C2×D52 | C2×C8 | semidirect |
| 96. C2×Dic26 | C2×C8 | semidirect |
| 330. C13 | #7578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130726 | 2 |
| C2×#11718290 | 2 |
| #13129657 | 2 |
| #13129653 | 2 |
| #13117324 | 2 |
| #7578 | 13 |