Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
934 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 161 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. C2×#11718734 | C2 | semidirect |
| 2. #13115643 | C2 | semidirect |
| 3. #13115642 | C2 | semidirect |
| 4. #13112663 | C2 | semidirect |
| 5. C2×C13×#493 | C2 | semidirect |
| 75. C2×C8×C13 | D8 | semidirect |
| 84. C2×#1055 | D8 | semidirect |
| 86. C2×#493 | D13 | semidirect |
| 226. C2×C8 | #6104 | semidirect |
| 232. C13 | #10304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718734 | 2 |
| #13115643 | 2 |
| #13115642 | 2 |
| #13112663 | 2 |
| C2×C13×#493 | 2 |
| #10304 | 13 |