Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 207 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. #13115798 | C2 | semidirect |
| 3. #13114993 | C2 | semidirect |
| 4. C2×C8×#1055 | C2 | semidirect |
| 10. C13×#492 | C4 | semidirect |
| 75. C2×#1055 | SD16 | semidirect |
| 107. C8×C13 | #102 | semidirect |
| 113. #492 | Dic13 | semidirect |
| 200. C13 | #9820 | semidirect |
| 228. C8 | #88072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115798 | 2 |
| #13115643 | 2 |
| #13114993 | 2 |
| C2×C8×#1055 | 2 |
| C2×C13×#492 | 2 |
| #9820 | 13 |