Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
118 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 118 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 |
|---|---|---|
| 1. #13129948 | C2 | semidirect |
| 2. #13129861 | C2 | semidirect |
| 14. C13×Q32 | C8 | semidirect |
| 16. C13×D16 | C8 | semidirect |
| 67. Q32 | #1057 | semidirect |
| 69. D16 | #1057 | semidirect |
| 94. C13 | #7389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129948 | 2 |
| #13129861 | 2 |
| #13116722 | 2 |
| #7389 | 13 |