Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
152 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 5. C2×C13×Q32 | C4 | semidirect |
| 10. #11718096 | C4 | semidirect |
| 59. C2×Q32 | #261 | semidirect |
| 111. C13 | #7419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129950 | 2 |
| #13129894 | 2 |
| #13116924 | 2 |
| #7419 | 13 |