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. #13123212 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 39. #88128 | Q8 | semidirect |
| 42. #88123 | Q8 | semidirect |
| 108. #1286 | D13 | semidirect |
| 272. C13 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123212 | 2 |
| #13115663 | 2 |
| #13113397 | 2 |
| #13113395 | 2 |
| #13112696 | 2 |
| #13112668 | 2 |
| C13×#1286 | 2 |
| #10362 | 13 |