Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13118129 | C2 | semidirect |
| 4. #13112738 | C2 | semidirect |
| 5. C13×#1274 | C2 | semidirect |
| 32. #88128 | Q8 | semidirect |
| 34. #88123 | Q8 | semidirect |
| 89. #1274 | D13 | semidirect |
| 224. C13 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118129 | 2 |
| #13115668 | 2 |
| #13113332 | 2 |
| #13112738 | 2 |
| C13×#1274 | 2 |
| #10370 | 13 |