Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
150 conjugacy classes of subgroups; only the 34 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 34 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. #13129952 | C2 | semidirect |
| 2. #13129904 | C2 | semidirect |
| 5. C2×D208 | C4 | semidirect |
| 9. C13×#367 | C4 | semidirect |
| 63. #367 | #261 | semidirect |
| 109. C13 | #7422 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129952 | 2 |
| #13129904 | 2 |
| #13116940 | 2 |
| #7422 | 13 |