Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13118130 | C2 | semidirect |
| 5. #13112737 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1303 | C2 | semidirect |
| 45. #88128 | Q8 | semidirect |
| 48. #88123 | Q8 | semidirect |
| 125. #1303 | D13 | semidirect |
| 314. C13 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118130 | 2 |
| #13115667 | 2 |
| #13113332 | 2 |
| #13113330 | 2 |
| #13112737 | 2 |
| #13112664 | 2 |
| C13×#1303 | 2 |
| #10370 | 13 |